New Generalized Hypergeometric Functions-Reference-Cited by-同舟云学术

New Generalized Hypergeometric Functions

Published:2022-10-13 Issue: Volume: Page:
ISSN:2687-6531
Container-title:Ikonion Journal of Mathematics
language:en
Short-container-title:ikjm

Author:

KABARA Salım Rabı'u¹

Affiliation:

1. Kano University of Science and Technology, Wudil.

Abstract

The classical Gauss hypergeometric function and the Kumar confluent hypergeometric function are defined using a classical Pochammer symbol , and a factorial function. This research paper will present a two-parameter Pochhammer symbol, and discuss some of its properties such as recursive formulae and integral representation. In addition, the generalized Gauss and Kumar confluent hypergeometric functions are defined using a two-parameter Pochhammer symbol and two-parameter factorial function and some of the properties of the new generalized hypergeometric functions were also discussed.

Publisher

Ikonion Journal of Mathematics

Reference21 articles.

1. [1] Abramowitz, M. and Stegun, I. A. (1970). Handbook of Mathematical Functions. National Bureau of Standards, Washington.

2. [2] Rehman, A., Mubeen, S., Ahmad, M. O. and Siddiqi, S. R. (2017). - Multiple Factorials with Applications. Punjab University Journal of Mathematics, (ISSN 1016-2526), Vol. 49(2) pp. 1-11.

3. [3] Mubeen, S. and Rehman, A. (2014). -Factorials. Journal of Inequalities and Special Functions, 5. No.3, pp. 14-20.

4. [4] Mubeen, S., Rehman, G. and Arshad, M. (2015). K-Gamma, K-Beta Matrix Functions and their Properties. J. Math. Comp. Sci., No. 5, pp. 647-657, ISSN:1927-5307.

5. [5] Thukral, A. K. (2014). Factorials of Real Negative and Imaginary Numbers – A New Perspective. Springer plus. 3:658 doi : 101186/2193-1801-3-658.