Contiguous values for a class of nonterminating 3F2(1)-series

被引：1

作者：

Chen, Marta Na ^{[1
]}

Chu, Wenchang ^{[1
,2
]}

机构：

[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou, Peoples R China

[2] Univ Salento, Dept Math & Phys, I-73100 Lecce, Italy

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 06期

关键词：

Hypergeometric series; the Gauss summation theorem; linearization method; partial fraction decomposition;

D O I：

10.1080/10652469.2022.2149746

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By employing the linearization method and partial fractions, we examine a large class of nonterminating exotic F-3(2)-series extended by five integer parameters. A general summation formula is proved, and several contiguous series are evaluated in closed form.

引用

页码：457 / 468

页数：12

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