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.
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页码：457 / 468
页数：12
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