Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function-Reference-Cited by-同舟云学术

Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function

Published:2021-02-24 Issue: Volume:2021 Page:1-12
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Saboor Abdus¹^ORCID,Rahman Gauhar²^ORCID,Ali Hazrat¹,Nisar Kottakkaran Sooppy³^ORCID,Abdeljawad Thabet⁴⁵⁶^ORCID

Affiliation:

1. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan

2. Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan, Pakistan

3. Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawser 11991, Saudi Arabia

4. Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

5. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

6. Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan

Abstract

In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating function relations. Different special cases are also considered.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/2491248.pdf

Reference18 articles.

1. On a Class of Incomplete Gamma Functions with Applications

2. A certain generalized Pochhammer symbol and its applications to hypergeometric functions

3. Some Extensions of the Pochhammer Symbol and the Associated Hypergeometric Functions