On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions-Reference-Cited by-同舟云学术

On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions

Published:2021-12-06 Issue: Volume:2021 Page:1-8
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Zou Chaojun¹²,Yu Mimi³,Bakhet Ahmed⁴⁵^ORCID,He Fuli⁵

Affiliation:

1. College of Economics and Management, Changsha Normal University, Changsha 410148, China

2. College of Mechanical and Electrical Engineering, Hunan Agricultural University, Changsha 410128, China

3. School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China

4. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

5. School of Mathematics and Statistics, Central South University, Changsha 410083, China

Abstract

In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix function by using incomplete extended Gamma and Beta functions; at last, we construct the relation between the incomplete confluent hypergeometric matrix functions and incomplete Bessel matrix function.

Funder

“13th Five Year Plan” Project Foundation of Hunan Province

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2021/5586021.pdf

Reference30 articles.

1. EXTENDED HYPERGEOMETRIC FUNCTIONS OF TWO AND THREE VARIABLES

2. A Note on Generating Functions Involving the Generalized Gauss Hypergeometric Functions

3. Degenerate Analogues of Euler Zeta, Digamma, and Polygamma Functions

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