Some New Formulas for Horn's Hypergeometric Functions H1, H2, H3, H4, H5, H6 and H7

被引：0

作者：

Shehata, Ayman ^{[1
,2
]}

Moustafa, Shimaa, I ^{[1
]}

机构：

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

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

来源：

THAI JOURNAL OF MATHEMATICS | 2022年 / 20卷 / 02期

关键词：

contiguous relations; Horn hypergeometric functions; recursion formulas; RECURSION FORMULAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to demonstrate various an interesting recursion formulas, differential and integral operators, integration formulas, and infinite summation for each of Horn's hypergeometric functions H-1, H-2, H-3, H-4, H-5, H-6 and H-7 by the contiguous relations of Horn's hypergeometric series. Some interesting different cases of our main consequences are additionally constructed.

引用

页码：1011 / 1030

页数：20

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