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**Welcome!** You are at Professor Junesang Choi's Homepage. **Here you will find** | Bio & Contact | Experience | Activities | Publications

- Place: Hapcheon, Gyeongsangnam-do, Republic of Korea
- Nationality: Republic of Korea

**Home and Office**: 31 Giilgil, Hyungogmyun, Gyeongju, Republic of Korea

[Postal code: 38047] [Home Phone: +82-54-743-9457] [Cell Phone: +82-010-6525-2262]

**Acknowledgement Address**: Department of Mathematics, Dongguk University, Gyeongju, Republic of Korea

[Postal code: 38066]

**E-mails**: junesang@dongguk.ac.kr, junesangchoi@gmail.com

- Ph.D. in Mathematics, August 1987--January 1991, Florida State University
- A Completion of Ph.D. Course in Mathematics, March 1983--February 1986, Pusan National University
- M.S. in Mathematics, March 1981--February 1983, Gyeongsang National University
- B.S. in Mathematics, March 1977--February 1981, Gyeongsang National University

- Broadly, Complex Analysis, Real Analysis, Special Functions, Number Theory
- In a narrow sense, Special Functions, Fractional Calculus, Analytic Number Theory

- Emeritus Professor, March 1, 2019--a whole life, Dongguk University
- Professor, October 2000--February 28, 2019, Dongguk University
- A Part Time Professor, July 6--July 10 (A week), 2009, Yamaguchi University, Japan. He gave a concentration lecture (30 hours in English) on Gamma function and its related functions and polynomials to graduate students.
- Visiting Professor, January 2007--January 2008, University of Victoria, supported by Dongguk University
- Associate Professor, October 1995-- September 2000, Dongguk University
- Visiting Professor, July 1999--August 2000, University of Victoria, supported by Korea Research Foundation and Dongguk University
- A Lecturer, September 1998--June 1999, Graduate School of Mathematics in Pusan National University, every Saturday.
- Assistant Professor, September 1991--September 1995, Dongguk University
- A Part Time Instructor, March 1991--August 1991, Gyeongsang National University
- Teaching Assistant, August 1987--December 1990, Florida State University: He had taught an Elementary Business Calculus, 3hours a week.
- A Part Time Instructor, March 1984--June 1987, Pusan National University, 6--17 hours a week.
- A Part Time Instructor, March 1983--February 1985, Kyungsung University, 6--9 hours a week.

- Analysis I (MAT 201)
- Analysis II (MAT 206)
- Complex Analysis I (MAT 303)
- Complex Analysis II (MAT 307)
- Topics in Analysis Education (MAT 404)
- History of Mathematics Education (MAT 408)

- Every 2 semesters, he taught graduate students in Department of Mathematics Education some mathematics (2 hours a week) at night.

- A member of the Editorial Board in Symmetry
- A member of the Editorial Board in Annals of Applied Sciences
- A member of the Korean Mathematical Society
- A member of the Korean Society of Mathematical Education
- A member of the Youngnam Mathematical Society, Korea
- A member of the Honam Mathematical Society, Korea
- A member of the American Mathematical Society
- A member of the Mathematical Association of America
- A reviewer in the American Mathematical Society
- A member of the Editorial Board in Advances in Computational Mathematics and Modelling
- A member of the Editorial Board in Turkish Journal of Inequalities
- A member of the Editorial Board in International Journal of Innovative Research in Pure and Engineering Mathematics
- A member of the Editorial Board in International Journal of Transformation in Applied Mathematics & Statistics
- A member of the Editorial Board in Journal of Science and Arts
- A member of the Editorial Board in International Journal of Recent Research Aspects
- A member of the Editorial Board in Sohag Journal of Mathematics
- A member of the Editorial Board in American Journal of Mathematical Analysis
- A member of the Editorial Board in Turkish Journal of Analysis and Number Theory
- A member of the Editorial Board in Journal of Numbers, Hindawi Publishing Corporation
- A member of the Guest Editors in Fixed Point Theory and Applications (2012-2013); Special Issue on The Proceedings of the the International Congress in Honour of Professor Hari M. Srivastava
- A member of the Guest Editors in Boundary Value Problems (2012-2013); Special Issue on The Proceedings of the the International Congress in Honour of Professor Hari M. Srivastava
- A member of the Guest Editors in Applied Mathematics and Computation
**218**(2011), No. 3; Special Issue in Honour of Hari M. Srivastava on his 70th Birth Anniversary - A member of the Editorial Board in Applicable Analysis and Discrete Mathematics, Serbia
- A member of the Editorial Board in East Asian Mathematical Journal, The Youngnam Mathematical Society, Republic of Korea
- A member of the Editorial Board in Communications of the Korean Mathematical Society, Republic of Korea, until Agust, 2021
- A member of the Editorial Board in The Pure and Applied Mathematics, Series B, Korea Society of Mathematical Education, Republic of Korea
- Organized the 22nd ICFIDCAA in Dongguk University (Gyeongju Campus), August 8--August 11, 2014 (see Website: http://icfidcaa.org)
- A vice-chairman of International Advisory Board of the International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (ICFIDCAA)
- Organized the 1st International Conference on Mathematics and its Applications in Dongguk University (Gyeongju Campus), October 15--October 16, 2010.
- Organized the 16th ICFIDCAA in Dongguk University (Gyeongju Campus), July 28--August 1, 2008 (see Website: http://16th.icfidcaa.org)
- A chairman (2011--2013) of International Advisory Board of the International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (ICFIDCAA)(see Website: http://icfidcaa.org)

- Special Issue in Mathematics, Editors: Junesang Choi, Ilya Shilin, Special Functions and Applications , 2020, done.
- Special Issue in Symmetry, Editors: Junesang Choi, Djurdje Cvijovic, Recent Advances in Special Functions and Their Applications , 2021, in progress.
- Special Issue in Mathematical Problems in Engineering, Editors: Erhan Set, Fahd Jarad, Junesang Choi, Djurdje Cvijovic, Developments in Fractional Analysis and Applications to Real-World Problems , 2021, Deactivation on July 4, 2021.
- Book Section, J. Choi, Multiple Gamma Functions and Their Applications, pp. 93--129 in: G. V. Milovanovic and M. Th. Rassias (Editors), Analytic Number Theory, Approximation Theory, and Special Functions (in Honor of Hari M. Srivastava) , Spriner, New York.
- J. Choi, Introduction to Mathematical Analysis (Revised Version) , KyungMoon Publ., Seoul, 2013 (Korean).
- H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals , Elsevier Science Publishers, Amsterdam, London and New York, 2012.
- H. M. Srivastava and J. Choi, Series Associated with the Zeta and Related Functions , Kluwer Acad. Publ., Dordrecht-Boston-London, 2001.
- J. Choi, Introduction to Mathematical Analysis, KyungMoon Publ., Seoul, 2010 (Korean).

- I. A. Shilin and J. Choi,
On some formulas for single and double integral transforms
related to the group SO(2, 2),
Symmetry ,
**16**(2024), ID 1102. https://doi.org/10.3390/sym16091102 - N. Batir and J. Choi,
Parameterized finite binomial sums,
Mathematics ,
**12**(2024), ID 2450. https://doi.org/10.3390/math12162450 - J. Choi and N. Batir,
An Algorithmic Evaluation of a Family of Logarithmic Integrals
and Associated Euler Sums,
Symmetry ,
**16**(2024), ID 932. https://doi.org/10.3390/sym16070932 - I. A. Shilin and J. Choi,
Concerning transformations of bases associated with
unimodular diag(1, −1, −1)-matrices,
Axioms ,
**13**(2024), ID 452. https://doi.org/10.3390/axioms13070452 - N. Batır and J. Choi,
Certain logarithmic integrals and associated Euler sums,
J. Math. Anal. Appl.,
**538(2)**(2024), ID 128365. https://doi.org/10.1016/j.jmaa.2024.128365 - S. Husain, N. U. Khan, T. Usman, and J. Choi,
The (p,q)-sine and (p,q)-cosine polynomials and their associated
(p,q)-polynomials,
Analysis ,
**44(1)**(2024), 47-65. https://doi.org/10.1515/anly-2023-0042 - B. R. S. Kumar, A. K. Rathie, and J. Choi,
Four families of summation formulas for 4F3(1) with application,
Axioms ,
**13**(2024), ID 164. https://doi.org/10.3390/axioms13030164 - M. I. Qureshi, T. U. R. Shah, J. Choi, and A. H. Bhat,
Three general double-series identities and associated reduction formulas and fractional calculus,
Fractal Fract. ,
**7**(2023), ID 700. https://doi.org/10.3390/fractalfract7100700 - J. Choi and A. Sofo,
Applications of Euler sums and series involving the
Zeta Functions,
Symmetry ,
**15**(2023), ID 1637. https://doi.org/10.3390/sym15091637 - I. A. Shilin and J. Choi, On some relations between hyper Bessel–Clifford, Macdonald and Meijer functions
and hyper Hankel–Clifford integral transforms,
Integral Transformations and Special Functions ,
**34 (10)**(2023), 788--798. https://doi.org/10.1080/10652469.2023.2191320 - T. Nahid, P. Alam and J. Choi,
Matrix approaches for Gould–Hopper–Laguerre–Sheffer matrix
polynomial identities,
Axioms ,
**12**(2023), ID 621. https://doi.org/10.3390/axioms12070621 - R. Agarwal, J. Choi, N. Kumar and R.K. Parmar,
Extensions of multiple Lauricella and Humbert's confluent hypergeometric functions through a highly generalized Pochhammer symbol and their related properties,
Bull. Korean Math. Soc. ,
**60(3)**(2023), 575--591. https://doi.org/10.4134/BKMS.b210652 - R.K. Parmar, J. Choi and Saravanan S.,
Extended Exton’s Triple and Horn’s Double Hypergeometric
Functions and Associated Bounding Inequalities,
Symmetry ,
**15**(2023), ID 1132. https://doi.org/10.3390/sym15061132 - D. Kumar, F. Ayant, N. Südland and J. Choi,
Certain q-Analogue of Fractional Integrals and Derivatives
Involving Basic Analogue of the Several
Variable Aleph-Function,
Axioms ,
**12**(2023), ID 51. https://doi.org/10.3390/axioms12010051 - M. I. Qureshi, J. Choi, and M. S. Baboo, Certain identities involving the general Kampe de Feriet
function and Srivastava’s general triple hypergeometric series,
Symmetry ,
**14**(2022), ID 2502. https://doi.org/10.3390/sym14122502 - H. Alzer and J. Choi, Two parameterized series representations for the Digamma function,
Appl. Anal. Discrete Math. ,
**16(2)**(2022), 524–533. https://doi.org/10.2298/AADM211208022A - I. A. Shilina and J. Choi, Method of continual addition theorems and integral relations
between the Coulomb functions and the Appell function F_1
Computational Mathematics and Mathematical Physics ,
**62(9)**(2022), 1486-–1495 DOI: 10.1134/S0965542522090068 - N. U. Khan, M. Ghayasuddin, D. Kim, and J. Choi,
Two new generalizations of extended Bernoulli polynomials and
numbers, and umbral calculus
Journal of Mathematics ,
**2022**(2022), ID 7969503 https://doi.org/10.1155/2022/7969503 - T. Usman, N. U. Khan, M. Aman, S. Al-Omari, K. Nonlaopon, and J. Choi,
Some generalized properties of poly-Daehee numbers and
polynomials based on Apostol–Genocchi polynomials
Mathematics ,
**10**(2022), ID 2502 https://doi.org/10.3390/math10142502 - A. Sofo and J. Choi,
Extension of the four Euler sums being linear with parameters and series involving the zeta functions
J. Math. Anal. Appl. ,
**515(1)**(2022), ID 126370 https://doi.org/10.1016/j.jmaa.2022.126370 - D. Kumar, J. Ram and J. Choi,
Dirichlet averages of generalized Mittag-Leffler type function
Fractal Fract. ,
**6**(2022), ID 297 https://doi.org/10.3390/fractalfract6060297 - M. I. Qureshi, J. Choi, and T. R. Shah, Certain generalizations of quadratic transformations of
hypergeometric and generalized hypergeometric functions
Symmetry ,
**14**(2022), ID 1073 https://doi.org/10.3390/sym14051073 - J. Choi and I. A. Shilin, A generalization of certain associated Bessel functions in connection
with a group of shifts
Communications in Mathematics ,
**30**(2022), 103--118 https://doi.org/10.46298/cm.9305 - T. Nahid and J. Choi, Certain hybrid matrix polynomials related to the Laguerre-Sheffer family
Fractal Fract. ,
**6**(2022), ID 211 https://doi.org/10.3390/fractalfract6040211 - E. Set, J. Choi, and S. Demirba\c{s}, Some new Chebyshev type inequalities for fractional integral
operator containing a further extension of Mittag-Leffler
function in the kernel
Afrika Matematika ,
**33**(2022), ID 42 https://doi.org/10.1007/s13370-022-00972-3 - J. Choi, M. I. Qureshi, J. Majid, J. Ara,
A power series associated with the generalized hypergeometric
functions with the unit argument which are involved in Bell
polynomials
Nonlinear Functional Analysis and Applications ,
**27(1)**(2022), 169-187 https://doi.org/10.22771/nfaa.2022.27.01.11 - J. Choi, S. K. Kurumujj, , A. Kilicman, A. K. Rathie,
Certain integral formulae associated with the product of
generalized hypergeometric series and several elementary
functions derived from formulas for the Beta function
Symmetry ,
**14**(2022), ID 389 https://doi.org/10.3390/sym14020389 - N. U. Khan, T. Usman and J. Choi, Certain Laguerre-based generalized Apostol type polynomials,
Tamkang Journal of Mathematics ,
**53(1)**(2022), 59--74. http://dx.doi.org/10.5556/j.tkjm.53.2022.3491 - T. Usman, N. U. Khan, M. Aman and J. Choi, A family of generalized Legendre-based Apostol-type polynomials,
Axioms ,
**11**(2022), Article ID 29. https://doi.org/10.3390/axioms11010029 - N. U. Khan, T. Usman, M. Aman, S. Al-Omari, and J. Choi, Integral transforms and probability distributions involving a generalized hypergeometric function,
Georgian Math. J. ,
**28(6)**(2021), 883-894. https://doi.org/10.1515/gmj-2021-2105 - J. Choi, G. V. Milovanovic and A. K. Rathie, Generalized Summation Formulas for the Kampé de Fériet Function,
Axioms ,
**10**(2021), Article ID 318. https://doi.org/10.3390/axioms10040318 - D. S. Sachan, S. Jaloree and J. Choi, Certain recurrence relations of two parametric Mittag-Leffler
function and their application in fractional calculus,
Fractal Fract. ,
**5**(2021), Article ID 215. https://doi.org/10.3390/fractalfract5040215 - I. A. Shilin and J. Choi, Some formulas for ordinary and hyper Bessel-Clifford
functions related to the proper Lorentz group,
J. Math. Sci. ,
**259(4)**(2021), 518--527 DOI 10.1007/s10958-021-05644-4: Translated from Fundamentalnaya i Prikladnaya Matematika, 22(5) (2019), 195-–208. - Junesang Choi, Kottakkaran Sooppy Nisar, and Gauhar Rahman,
An extension of the Whittaker function,
Commun. Korean Math. Soc. ,
**36(4)**(2021), 705--714 https://doi.org/10.4134/CKMS.c200311 - Junesang Choi, Mohd Idris Qureshi, Aarif Hussain Bhat and Javid Majid,
Reduction formulas for generalized hypergeometric series
associated with new sequences and applications,
Fractal Fract. ,
**5**(2021), ID 150 doi.org/10.3390/fractalfract5040150 - Tabinda Nahid, Mohd Saif, Junesang Choi,
q-NATURAL TRANSFORMS OF CERTAIN
q-HUMBERT FUNCTIONS,
South East Asian J. of Mathematics and Mathematical Sciences ,
**17(2)**(2021), 49--68 - Abbas Karem Wanas, Junesang Choi, Nak Eun Cho,
Geometric properties for a family of holomorphic
functions associated with Wanas operator defined
on complex Hilbert space,
Asian-European Journal of Mathematics ,
**14(7)**(2021), ID 2150122 doi:10.1142/S1793557121501229 - Junesang Choi, I. A. Shilin,
On Changing Between Bases of the Space of Representations
of Group SO(2,2),
Computational Mathematics and Mathematical Physics ,
**61(8)**(2021), 1235--1244. doi:10.1134/S0965542521080066 - Junesang Choi,
Certain Applications of Generalized Kummer’s Summation
Formulas for 2F1,
Symmetry ,
**13**(2021), Article ID 1538. https://doi.org/10.3390/sym13081538 - Esra ErkuS-Duman, Junesang Choi,
Gottlieb Polynomials and Their q-Extensions,
Mathematics ,
**9**(2021), Article ID 1499. doi.org/10.3390/math9131499 - Ghazala Yasmin, Hibah Islahi, Junesang Choi,
q-Generalized Tangent Based Hybrid Polynomials,
Symmetry ,
**13**(2021), Article ID 791. doi.org/10.3390/sym13050791 - Owais Khan, Nabiullah Khan, Junesang Choi, and Kottakkaran Sooppy Nisar,
A type of fractional kinetic equations associated with the (p,q)-extended r-hypergeometric and confluent hypergeometric functions,
Nonlinear Functional Analysis and Applications
,
**26(2)**(2021), 381-392. doi.org/10.22771/nfaa.2021.26.02.10 - Mohamed Abdalla, Mohamed Akel, Junesang Choi,
Certain Matrix Riemann–Liouville Fractional Integrals
Associated with Functions Involving Generalized
Bessel Matrix Polynomials,
Symmetry ,
**13**(2021), Article ID 622. doi.org/10.3390/sym13040622 - Junesang Choi, Sanjib Kumar Datta, Nityagopal Biswas,
Growth Analysis of Meromorphic Solutions of Linear Difference Equations with Entire or Meromorphic Coefficients of Finite φ-Order,
Symmetry ,
**13(2)**(2021), Article ID 267. doi: 10.3390/sym13020267 - Nabiullah Khan, Talha Usman, and Junesang Choi,
A new class of generalized polynomials involving
Laguerre and Euler polynomials,
Hacettepe Journal of
Mathematics & Statistics ,
**50**(2021), 1-13. doi: 10.15672/hujms.555416 - Nabiullah Khan, Mohd Aman, Talha Usman, and Junesang Choi,
Legendre-Gould Hopper-Based Sheffer Polynomials and Operational
Methods,
Symmetry ,
**12**(2020), Article ID 2051. doi: 10.3390/sym12122051 - G. S. Khammash, P. Agarwal, and J. Choi, Extended k-Gamma and
k-Beta Functions of Matrix Arguments, Mathematics ,
**8**(2020), Article ID 1715. doi: 10.3390/math8101715 - T. Nahid, P. Alam, and J. Choi, Truncated-exponential-based Appell-type Changhee olynomials, Symmetry ,
**12**(2020), Article ID 1588. doi:10.3390/sym12101588 - T. Usman, M. Saif, and J. Choi, Certain identities associated with (p, q)-binomial coefficients and (p, q)-Stirling polynomials of the second kind, Symmetry ,
**12**(2020), Article ID 1436. doi:10.3390/sym12091436 - J. Choi, R. Sahin, O. Yagcı, and D. Kim,
Note on the Hurwitz–Lerch zeta function of two variables,
Symmetry ,
**12**(2020), Article ID 1431. doi:10.3390/sym1209143 - S. Jain, Juan J. Nieto, G. Singh,
and J. Choi, Certain Generating Relations Involving the Generalized Multi-Index Bessel–Maitland Function, Mathematical Problems in Engineering,
**2020**(2020), Article ID 8596736, 5 page. https://doi.org/10.1155/2020/859673 - I. A. Shilin, Junesang Choi and Jae Won Lee,
Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group, AIMS Mathematics,
**5(6)**(2020), 5663–5681. - H. Alzer, J. Choi, Four parametric linear Euler sums, J. Math. Anal. App.
**484**(2020), Article ID 123661. https://doi.org/10.1016/j.jmaa.2019.123661 - P. Agarwal, M. Chand, and J. Choi, Some integrals involving Aleph-functions and Laguerre polynomials, Ukrainian Mathematical Journal
**71**(9) (2019), 1159--1175. DOI 10.1007/s11253-020-01718-9 - N. Khan, T. Usman, J. Choi,
A new class of generalized Laguerre-Euler polynomials,
RACSAM
**113**(2019), https://doi.org/10.1007/s13398-018-0518-8 - N. U. Khan, T. Usman, J. Choi,
A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials,
Turk. J. Math.
**43**(2019), 486--497. - J. Choi, N. Khan, T. Usman, M. Aman,
Certain unified polynomials,
Integral Transforms and Special Functions
**30**(2019), 28–40 - I. A. Shilin, J. Choi,
On matrix elements of the SO(2,2)-representation in a space
of functions on 2 × 4-matrices,
Integral Transforms and Special Functions
**29**(2018), 761–770 - J. Choi, N. Khan, T. Usman,
A note on Legendre-based multi ploy-Euler polynomials,
Bull. Iran. Math. Soc.
**44**(2018), 707-717 - N. Khan, T. Usman, J. Choi,
A new class of generalized polynomials,
Turkish Journal of Mathematics
**42**(2018), 1366-1379 - J. Choi, R. K. Parmar,
Fractional integration and differentiation of the (p,q)-extended Bessel function,
Bulletin of the Korean Mathematical Society
**55**(2018), 599-610 - J. Choi, R. K. Parmar, R. K. Saxena,
An extension of the extended Hurwitz-Lerch zeta functions of two variables,
Bulletin of the Korean Mathematical Society
**54**(2017), 1951-1967 - H. Alzer, J. Choi,
The Riemann zeta function and classes of infinite series,
Applicable Analysis and Discrete Mathematics
**11**(2017), 386-398 - I. A. Shilin, J. Choi,
Integral and series representations of special functions
related to the group SO(2, 2),
The Ramanujan Journal
**44**(2017), 133-153 - E. Set, J. Choi, A. Gözpinar,
Hermite-Hadamard type inequalities for
the generalized k-fractional integral
operators,
Journal of Inequalities and Applications
**2017**(2017), Article ID 206 - J. C. Prajapati, J. Choi, K. B. Kachhia, P. Agarwal,
Certain properties of Gegenbauer polynomials via Lie algebra,
Revista de la Real Academia de
Ciencias Exactas, Físicas y Naturales.
Serie A. Matemáticas
**111(4)**(2017), 1031-1037 - J. Choi, D. Kumar, J. Singh, and R. Swroop,
Analytical techniques for system of time fractional nonlinear differential equations,
Journal of the Korean Mathematical Society
**54**(2017), 1209-1229 - J. Choi, A. K. Rathie, Six unified results for reducibility of the Srivastava’s triple hypergeometric
series HA, Journal of Nonlinear Sciences and Applications
**10**(2017), 3038-3045 - J. Choi, R. K. Parmar, T. K. Pogany, Mathieu-type series built by (p,q)-extended Gaussian hypergeometric function,
Bull. Korean Math. Soc.
**54**(2017), 789-797 - C.-P. Chen, J. Choi, Completely monotonic functions related to Gurland's ratio for the gamma function,
Mathematical Inequalities and Applications
**20**(2017), 651-659 - K. S. Nisar, G. Rahman, J. Choi, S. Mubeen, M. Arshad, Generalized hypergeometric k-functions via (k,s)-fractional calculus,
Journal of Nonlinear Sciences and Applications
**10**(2017), 1791-1800 - J. Choi and R. K. Parmar, Generalized Srivastava’s triple hypergeometric functions and their associated properties,
Journal of Nonlinear Sciences and Applications
**10**(2017), 817–827 - K. S. Nisar, S. R. Mondal, and J. Choi, Certain inequalities involving the k-Struve function, Journal of Inequalities and Applications (2017) 2017, Article ID 71
- C.-P. Chen and J. Choi,
Unified treatment of several asymptotic expansions concerning some mathematical constants,
Applied Mathematics and Computation
**305**(2017), 348–363. - I. A. Shilin and Junesang Choi,
Certain relations between Bessel and Whittaker functions related to some diagonal and block-diagonal 3×3-matrices,
Journal of Nonlinear Sciences and Applications
**10**(2017), 560-574. - J. Choi and R. K. Parmar,
An extension of the generalized Hurwitz-Lerch Zeta function of two variables, FILOMAT
**31**(1) (2017), 91–96; DOI 10.2298/FIL1701091C. - K. S. Nisar, A. F. Eata, M. Al-Dhaifallah, and J. Choi, Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution, Advances in Difference Equations (2016) 2016:304 DOI 10.1186/s13662-016-1029-6
- J. C. Prajapati, J. Choi, K. B. Kachhia and P. Agarwal, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas DOI 10.1007/s13398-016-0343-x
- M. Tomar, S. Mubeen and J. Choi,
Certain inequalities associated with Hadamard k-fractional integral operators,
Journal of Inequalities and Applications
**2016**(2016), ID 234 Doi.10.1186/s13660-016-1178-x - P. Agarwal and J. Choi,
Fractional calculus operators and their image formulas,
J. Korean Math. Soc.
**53**(5) (2016), 1183-1210 http://dx.doi.org/10.4143/JKMS.j150458. - J. Choi, R. K. Parmar and P. Chopra,
The incomplete Srivastava's triple hypergeometric functions $\gamma_B^H$ and $\Gamma_B^H$,
FILOMAT
**30**(7) (2016), 1779-1787 DOI 10.2298/FIL1607779C. - J. Choi and P. Agarwal,
A note on fractional integral operator associated with multiindex Mittag-Leffler functions,
FILOMAT
**30**(7) (2016), 1931-1939 DOI 10.2298/FIL1607931C. - J. Choi and A. K. Rathie,
Reducibility of certain Kampe de Feriet function with an application to generating relations for
products of two Laguerre polynomials,
FILOMAT
**30**(7) (2016), 2059-2066 DOI 10.2298/FIL1607059C. - I. A. Shilin and J. Choi.
Integral and series representations of special functions related to the group SO(2,2),
The Ramanujan Journal
**06**(2016) DOI 10.1007/s11139-016-9799-8. - P. Agarwal, S. Jain and J. Choi. Certain q-series identities, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas DOI 10.1007/s13398-016-0281-7; 2016
- P. Agarwal and J. Choi.
Certain fractional integral inequalities associated with pathway fractional integral operators,
Bulletin of the Korean Mathematical Society
**53**(2016), 181--193. - D. Kumar, S. D. Purohit and J. Choi.
Generalized fractional integrals involving product of multivaiable H-function and a general class of
polynomials,
Journal of Nonlinear Science and Applications
**9**(2015), 8--21. - P. Agarwal, S. K. Q. Al-Omari and J. Choi,
Real covering of the generalized Hankel-Clifford transform of Fox kernel type of a class of Boehmians,
Bulletin of the Korean Mathematical Society
**52**(2015), 1607--1619. - P. Agarwal, J. Choi and R. B. Paris,
Extended Riemann-Liouville fractional derivative operator and its applications,
Journal of Nonlinear Science and Applications
**8**(2015), 451--466. - J. Choi and D. Kumar,
Solutions of generalized fractional kinetic equations involving Aleph functions,
Mathematical Communications
**20**(2015), 113--123. - J. Choi and P. Agarwal,
Certain integral transforms for the incomplete functions,
Applied Mathematics & Information Sciences
**9**(4) (2015), 2161--2167.; http://dx.doi.org/10.12785/amis/090456 - J. Choi and A. K. Rathie ,
Evaluation of certain new class of definite integrals,
Integral Transforms and Special Functions,
**26**(2015), 282--294; http://dx.doi.org/10.1080/10652469.2014.1001385 - J. Choi and Dinesh Kumar,
Certain unified fractional integrals and derivatives for a product of Aleph function and a
general class of multivariable polynomials,
Journal of Inequalites and Applications, Volume
**2014**(2014), 499 - C.-P. Chen and J. Choi,
Inequalities and asymptotic expansions for the constants of Landau and Lebesgue,
Applied Mathematics and Computation, Volume
**248**(2014), 610--624 - C.-P. Chen and J. Choi,
An asymptotic formula for (1+1/x)^x based on the partition function,
The American Mathematical Monthly, Volume
**121**(2014), No. 4, 338--343 - J. Choi and H. M. Srivastava,
q-extension of a multivariable and multiparameter generalization of the Gottlied polynomials in several variables,
Tokyo Journal of Mathematics, Volume
**37**(2014), No. 1, 111--125 - J. Choi and P. Agarwal,
Certain class of generating functions for the incomplete hypergeometric functions,
Abstract and Applied Analysis, Volume
**2014**, Article ID 714560, 5 pages - J. Choi, P. Agarwal, S. Mathur, and S. D. Purohit,
Certain new integral formulas involving the generalized Bessel functions,
Bulletin of the Korean Mathematical Society, Volume
**51**(2014), No. 4, 995-1003 - J. Choi,
Summation formulas involving binomial coefficients, harmonic numbers, and generalized harmonic numbers,
Abstract and Applied Analysis, Volume
**2014**, Article ID 501906, 10 pages - J. Choi and P. Agarwal,
Certain integral transform and fractional integral formulas for the generalized Gauss hypergeometricfunctions,
Abstract and Applied Analysis, Volume
**2014**, Article ID 735946, 7 pages - J. Choi and P. Agarwal,
Some new Saigo type fractional integral inequalities and their q-analogues,
Abstract and Applied Analysis, Volume
**2014**, Article ID 579260, 11 pages http://dx.doi.org/10.1155/2014/579260 - I. A. Shilin and J. Choi,
Certain connections between the spherical and hyperbolic baese on the cone and formulas for related special
functions,
Integral Transforms and Special Functions
**25**(4) (2014), 374--383. - J. Choi and H. M. Srivastava, Series involving the Zeta functions and a family of generalized Goldbach-Euler series, American Mathematical Monthly, 2014 http://dx.doi.org/10.4169/amer.math.monthly.121.03.229
- I. A. Shilin and J. Choi,
Some connections between the spherical and parabolic bases on the cone expressed in terms of the Macdonald function,
Abstract and Applied Analysis, Volume
**2014**, Article ID 741079, 8 pages http://dx.doi.org/10.1155/2014/741079 - Chao-Ping Chen and J. Choi, Asymptotic expansions for the constants of Landau and Lebesgue,
Advances in Mathematics
**254**(2014), 622-641. - J. Choi,
Rapidly converging series for $\zeta(2n+1)$ from Fourier series,
Abstract and Applied Analysis, Volume
**2014**, Article ID 457620, 9 pages http://dx.doi.org/10.1155/2014/457620 - I. A. Shilin and J. Choi, Certain connections between the spherical and hyperbolic bases on the cone and formulas for related special functions, Integral Transforms and Special Functions, 2013 http://dx.doi.org/10.1080/10652469.2013.860454
- J. Choi and H. M. Srivastava, An experimental conjecture involving closed-form evaluation of series associated
with the zeta functions,
Mathematical Inequalities & Applications
**16**, No. 4, (2013), 971-979. - J. Choi, Certain integral representations of Stieltjes constants $\gamma_n$,
Journal of Inequalities and Applications 2013,
**2013:**532. - J. Choi, A. K. Rathie, and H. M. Srivastava,
Certain hypergeometric identities deducible by using the Beta integral method,
Bulletin of the Korean Mathematical Society
**50**(2013), 1673-1681. - J. Choi, Determinants of the Laplacians on the n-dimemsional unit sphere S^n,
Advances in Difference Equations 2013,
**2013:**236. - J. Choi and A. K. Rathie, Reduction formulae for the Lauricella functions in several variables,
Journal of Inequalities and Applications 2013,
**2013:**312. - J. Choi and H. M. Srivastava, Some two-sided inequalities for multiple Gamma functions and related results,
Applied Mathematics and Computation
**219**(2013), 10343-10354. - C.-P. Chen and J. Choi, Two infinite product formulas with two parameters,
Integral Transforms and Special Functions
**24**(5)(2013), 357-363. - J. Choi and P. Agarwal, Certain unified integrals associated with Bessel functions,
Boundary Value Problems 2013,
**2013:**95. - J. Choi, Remark on the Hurwitz-Lerch zeta function,
Fixed Point Theory and Applications 2013,
**2013:**70. - J. Choi and C.-P. Chen, Certain relationships among polygamma functions, Riemann zeta function and
generalized zeta function,
Journal of Inequalities and Applications 2013,
**2013:**75. - J. Choi and A. K. Rathie, Relations between Lauricella's triple hypergeometric function
F
_{A}^{(3)}(x,y,z) and Exton's function X_{8}, Advances in Difference Equations 2013,**2013:**34. - J. Choi, Finite summation formulas involving binomial coefficients, harmonic numbers and generalized
harmonic numbers,
Journal of Inequalities and Applications 2013,
**2013:**49. - J. Choi, A set of mathematical constants arising naturally in the theory of the multiple Gamma functions,
Abstract and Applied Analysis
**2012**(2012), Article ID 121795, 11 pages. - Y. S. Kim, J. Choi and A. K. Rathie, Two results for the terminating {}_3F_2(2) with applications,
Bull. Korean Math. Soc.
**49**(2012), No. 3, 621--633. - Ch.-P. Chen and J. Choi, Two infinite product formulas with two parameters,
Integral Transforms Spec. Func.
**iFirst**(2012), 1--7. - J. Choi, A. Hasanov and H. M. Srivastava, Relations between Lauricella's triple hypergeometric function
F_A^{(3)}[x,y,z] and the Srivastava function F^{(3)}[x,y,z],
Integral Transforms Spec. Func.
**23**(2012), 69--82. - J. Choi, A generalization of Gottlieb polynomials in several variables,
Appl. Math. Lett.
**25**(2012), 43--46; DOI: 10.1016/j.aml.2011.07.006 - J. Choi, A. K. Rathie, Two formulas contiguous to a quadratic transformations due to Kummer with an application,
Hacettepe Journal of Mathematics and Statistics
**40(6)**(2011), 885--894. - J. Choi, Y. S. Kim, Anvar Hasanov, Relations between the hypergeometric functions of
Appell F_3 and Kampe de Feriet functions,
Miskolc Mathematical Notes
**12(2)**(2011), 131--148. - J. Choi, Anvar Hasanov, H. M. Srivastava, and Mamasali Turaev, Integral representations for Srivastava's triple
hypergeometric functions,
Taiwanese Journal of Mathematics
**15(6)**(2011), 2751--2762. - J. Choi and H. M. Srivastava, Asymptotic formulas for the triple Gamma function $Gamma_3$
by means of its integral representation,
Applied Mathematics and Computation
**218**(2011), 2631--2640. - J. Choi, Certain summation formulas involving harmonic numbers and
generalized harmonic numbers,
Applied Mathematics and Computation
**218**(2011), 734--740. - J. Choi and H. M. Srivastava, Some summation formulas involving harmonic numbers and
generalized harmonic numbers,
Mathematical and Computer Modelling
**54**(2011), 2220--2234. - J. Choi, A. K. Rathie and H. M. Srivastava, A generalization of a formula due to Kummer,
Integral Transformations and Special Functions
**iFirst**(2011), 1--9. - J. Choi and H. M. Srivastava, Explicit evaluations of some families of log-sine and log-cosine integrals,
Integral Transformations and Special Functions
**22(10)**(2011), 767--783. - J. Choi and H. M. Srivastava, The multiple Hurwitz Zeta function and the multiple Hurwitz-Euler Eta function,
Taiwanese Journal of Mathematics
**15**(2011), 501--522. - J. Choi and A. Hasabov, Applications of the operator $H(\alpha,\beta)$ to the Humbert double hypergeometric functions,
Computers and Mathematics with Applications
**61**(2011), 663--671. - J. Choi and H. M. Srivastava, Integral representations for the Euler-Mascheroni Constant γ, Integral Transforms Spec. Funct.
**21**(2010), no. 9, 675--690. - J. Choi, Contiguous extensions of Dixon's theorem on the sum of a
_{3}F_{2}, J. Inequal. Appl.**2010**(2010), Art. ID 589618, 17 pp. - J. Choi and H. M. Srivastava, Mathieu series and associated sums involving the zeta functions, Comput. Math. Appl.
**59**(2010), no. 2, 861--867. - J. Choi and H. M. Srivastava, Some applications of the gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals. Math. Nachr.
**282**(2009), no. 12, 1709--1723. - J. Choi and H. M. Srivastava, Integral representations for the gamma function, the beta function, and the double gamma function, Integral Transforms Spec. Funct.
**20**(2009), no. 11-12, 859--869. - J. Choi, Y. J. Cho, and H. M. Srivastava, Log-Sine Integrals Involving Series Associated with the Zeta Function and Polylogarithms, Mathematica Scandinavica
**105**(2009), 199--217. - J. Choi, P. J. Anderson, and H. M. Srivastava, Carlitz's
*q*-Bernoulli and*q*-Euler numbers and polynomials and a class of generalized*q*-Hurwitz zeta functions. Appl. Math. Comput.**215**(2009), no. 3, 1185--1208. - J. Choi and H. M. Srivastava, Integral Representations for the Gamma function, the Beta Function, and the Double Gamma Function, Integral Transforms Spec. Funct.
**20**(11) (2009), 859--869. - J. Choi, P. J. Anderson, and H. M. Srivastava, Carlitz's
*q*-Bernoulli and*q*-Euler numbers and polynomials and a class of generalized*q*-Hurwitz Zeta functions, Appl. Math. Comput.**215**(2009), 1185--1208. - J. Choi and H. M. Srivastava, A note on a multiplication formula for the multiple gamma function Γ
_{n}, .Ital. J. Pure Appl. Math. No. 23 (2008), 179--188. - J. Choi, P. J. Anderson, and H. M. Srivastava, Some
*q*-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order*n*, and the multiple Hurwitz zeta function, Appl. Math. Comput.**199**(2008), no. 2, 723--737. - J. Choi, D. S. Jang, and H. M. Srivastava, A generalization of the Hurwitz-Lerch Zeta function, Integral Transforms Spec. Funct.
**19**(2008), no. 1-2, 65--79. - J. Choi and D. Cvijović, Values of the polygamma functions at rational arguments, J. Phys. A: Math. Theor.
**40**(2007), no.50, 15019--15028. - J. Choi, A. K. Rathie, and S. Malani, Kummer's theorem and its contiguous identities, Taiwanese J. Math.
**11**(2007), no. 5, 1521--1527. - J. Choi, Some mathematical constants, Appl. Math. Comput.
**187**(2007), 122--140. - Y. J. Cho, M. Jung, J. Choi, and H. M. Srivastava, Closed-form evaluations of definite integrals and associated infinite series involving the Riemann zeta function, Inter. J. Computer Math.
**83**(2006), no. 5-6, 461--472. - Y. J. Cho, J. Choi, and M. Jung, Note on an evaluation of ζ(
*p*), Indian J. Pure Appl. Math.**37**(2006), no. 5, 259--263. - J. Choi and H. M. Srivastava, Explicit evaluation of Euler and related sums, Ramanujan J.
**10**(2005), no. 1, 51--70. - J. Choi and H. M. Srivastava, Certain families of series associated with the Hurwitz-Lerch Zeta function, Appl. Math. Comput.
**170**(2005), no. 1, 399-409. - J. Choi and H. M. Srivastava, A family of log-Gamma integrals and associated results, J. Math. Anal. Appl.
**303**(2005), no. 2, 436--449. - J. Choi, Y. J. Cho, and H. M. Srivastava, Series involving the Zeta function and multiple Gamma functions, Appl. Math. Comput.
**159**(2004), no. 2, 509--537. - J. Choi, J. Lee, and H. M. Srivastava, A generalization of Wilf's formula, Kodai Math. J.
**26**(2003), no. 1, 44--48. - J. Choi, H. M. Srivastava, and V. S. Adamchik, Multiple Gamma and related functions, Appl. Math. Comput.
**134**(2003), no. 2-3, 515--533. - J. Choi and H. M. Srivastava, A certain family of series associated with the Zeta and related functions, Hiroshima Math. J.
**32**(2002), no. 3, 417--429. - J. Choi and H. M. Srivastava, A certain class of series associated with the Zeta function, Integral Transforms Spec. Funct.
**12**(2001), no. 3, 237--250. - J. Choi and H. M. Srivastava, Evaluation of higher-order derivatives of the Gamma function, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat.
**11**(2000), 9--18 (2001). - J. Choi and H. M. Srivastava, Certain classes of series associated with the Zeta function and multiple Gamma functions, J. Comput. Appl. Math.
**118**(2000), no. 1-2, 87--109. - J. Choi, A. K. Rathie, and H. M. Srivastava, Some hypergeometric and other evaluations of ζ(
*2*) and allied series, Appl. Math. Comput.**104**(1999), no. 2-3, 101--108. - J. Choi and T. Y. Seo, Identities involving series of the Riemann zeta function, Indian J. Pure Appl. Math.
**30**(1999), no. 7, 649--652. - J. Choi and H. M. Srivastava, An application of the theory of the double gamma function, Kyushu J. Math.
**53**(1999), no. 1, 209--222. - J. Choi and H. M. Srivastava, Certain classes of series involving the zeta function, J. Math. Anal. Appl.
**231**(1999), no. 1, 91--117. - J. Choi and H. M. Srivastava, Certain classes of infinite series, Monatsh. Math.
**127**(1999), no. 1, 15--25. - J. Choi and T. Y. Seo, Integral formulas for Euler's constant, Commun. Korean Math. Soc.
**13**(1998), no. 3, 683--689. - J. Choi, H. M. Srivastava, and N. Zhang, Integrals involving a function associated with the Euler-Maclaurin summation formula, Appl. Math. Comput.
**93**(1998), no. 2-3, 101--116. - A. K. Rathie and J. Choi, A note on generalizations of Preece's identity and other contiguous results, Bull. Korean Math. Soc.
**35**(1998), no. 2, 339--344. - J. Choi and T. Y. Seo, Evaluation of some infinite series, Indian J. Pure Appl. Math.
**28**(1997), no. 6, 791--796. - J. Choi and C. Nash, Integral representations of the Kinkelin's constant
*A*, Math. Japon.**45**(1997), no. 2, 223--230. - J. Choi and H. M. Srivastava, Sums associated with the zeta function, J. Math. Anal. Appl.
**206**(1997), no. 1, 103--120. - J. R. Quine and J. Choi, Zeta regularized products and functional determinants on spheres, Rocky Mountain J. Math.
**26**(1996), no. 2, 719--729. - J. Choi, Explicit formulas for Bernoulli polynomials of order
*n*, Indian J. Pure Appl. Math.27 (1996), no. 7, 667--674. - J. Choi and H. M. Srivastava, A reducible case of double hypergeometric series involving the Riemann ζ-function, Bull. Korean Math. Soc.
**33**(1996), no. 1, 107--110. - J. Choi and Y. M. Nam, The first Eulerian integral, Kyushu J. Math.
**49**(1995), no. 2, 421--427. - J. Choi, H. M. Srivastava, and J. R. Quine, Some series involving the zeta function, Bull. Austral. Math. Soc.
**51**(1995), no. 3, 383--393. - J. Choi, Determinant of Laplacian on S
^{3}, Math. Japon,**40**(1994), no. 1, 155--166. - J. Choi and J. R. Quine, E. W. Barnes' approach of the multiple gamma functions, J. Korean Math. Soc.
**29**(1992), no. 1, 127--140. - J. Choi, On a generalization of the Hurwitz zeta function ζ(
*s,a*). Indian J. Pure Appl. Math.**23**(1992), no. 2, 83--91.

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