Some Relations on the rRs(P,Q,z) Matrix Function

被引：0

作者：

Shehata, Ayman ^{[1
]}

Khammash, Ghazi S. ^{[2
]}

Cattani, Carlo ^{[3
,4
]}

机构：

[1] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt

[2] Al Aqsa Univ Gaza, Dept Math, Gaza Strip, Palestine

[3] Tuscia Univ, Engn Sch, DEIM, Largo Univ, I-01100 Viterbo, Italy

[4] Azerbaijan Univ, Dept Math & Informat, Hajibeyli Str, AZ-1007 Baku, Azerbaijan

来源：

AXIOMS | 2023年 / 12卷 / 09期

关键词：

R-r(s)(P; Q; z) matrix function; recurrence relation; integral representation; generalized (Wright) hypergeometric matrix functions; Mittag-Leffler matrix function; fractional integral; derivative operators; POLYNOMIALS;

D O I：

10.3390/axioms12090817

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive some classical and fractional properties of the( r)R(s) matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such as the gamma, beta, and Gauss hypergeometric matrix functions. We will also show the relationship with other generalized special matrix functions in the context of the Konhauser and Laguerre matrix polynomials.

引用

页数：23

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