Some Formulas for Horn's Hypergeometric Function GB of Three Variables

被引：0

作者：

Shehata, Ayman ^{[1
,2
]}

Moustafa, Shimaa I. ^{[1
]}

Younis, Jihad ^{[3
]}

Aydi, Hassen ^{[4
,5
,6
]}

机构：

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

[2] Qassim Univ, Coll Sci & Arts, Dept Math, Unaizah 56264, Qassim, Saudi Arabia

[3] Univ Aden, Dept Math, Aden, Yemen

[4] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[5] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[6] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2022年 / 2022卷

关键词：

CONTIGUOUS RELATIONS; RECURSION FORMULAS;

D O I：

10.1155/2022/6565627

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Agarwal et al. (2021) established the extension of several fundamental contiguous relations for GB. Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function GB of three variables. Some well-known particular cases have additionally been given.

引用

页数：11

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