On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions
Author(s) -
Chaojun Zou,
Mimi Yu,
Ahmed Bakhet,
Fuli He
Publication year - 2021
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1155/2021/5586021
Subject(s) - bessel function , matrix function , matrix (chemical analysis) , mathematics , beta (programming language) , hypergeometric function , function (biology) , pure mathematics , symmetric matrix , mathematical analysis , computer science , physics , quantum mechanics , evolutionary biology , eigenvalues and eigenvectors , materials science , composite material , biology , programming language
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.
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