Some New Transformation Formulas Deriving from Bailey Pairs and WP-Bailey Pairs

被引：0
|
作者：
Nie, Shuyuan [1 ]
Zhang, Zhizheng [1 ,2 ]
机构：
[1] Luoyang Normal Univ, Dept Math, Luoyang 471934, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453001, Henan, Peoples R China
来源：
FILOMAT | 2021年 / 35卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Bailey pair; WP-Bailey pair; WP-Bailey pair chain; Basic hypergeometric series; IDENTITIES;
D O I：
10.2298/FIL2103941N
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to derive a new Bailey pair and three new WP-Bailey pairs from four summation formulas of the multibasic hypergeometric series. As applications, we will use them to obtain many new transformation formulas for basic and multibasic hypergeometric series.
引用
收藏
页码：941 / 953
页数：13
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