THE Cn WP-BAILEY CHAIN

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (6): 1789-1804.

THE C_n WP-BAILEY CHAIN

张之正¹, 黄俊利²

1 Department of Mathematics, Luoyang Normal University, Luoyang 471934, China;
2 College of Mathematics and Information Science, Henan Normal University, Xinxiang 475001, China

收稿日期:2017-07-10 修回日期:2018-02-24 出版日期:2018-12-25 发布日期:2018-12-28
作者简介:Zhizheng ZHANG,E-mail:zhzhzhang-yang@163.com;Junli HUANG,E-mail:huangjunli90@126.com
基金资助:
This research was supported by the National Natural Science Foundation of China (11371184).

THE C_n WP-BAILEY CHAIN

Zhizheng ZHANG¹, Junli HUANG²

1 Department of Mathematics, Luoyang Normal University, Luoyang 471934, China;
2 College of Mathematics and Information Science, Henan Normal University, Xinxiang 475001, China

Received:2017-07-10 Revised:2018-02-24 Online:2018-12-25 Published:2018-12-28
Supported by:
This research was supported by the National Natural Science Foundation of China (11371184).

摘要/Abstract

摘要： The purpose of this paper is to introduce the concept of C_n WP-Bailey pairs. The C_n WP-Bailey transform is obtained by applying the C_n ₆φ₅ summation formula. From this result, the C_n WP-Bailey lemma is deduced by making use of the C_n q-Dougall summation formula. Some applications are investigated. Finally, the case of elliptic C_n WP-Bailey pairs is discussed.

关键词: C_n WP-Bailey pair, C_n WP-Bailey chain, elliptic C_n WP-Bailey pair

Abstract: The purpose of this paper is to introduce the concept of C_n WP-Bailey pairs. The C_n WP-Bailey transform is obtained by applying the C_n ₆φ₅ summation formula. From this result, the C_n WP-Bailey lemma is deduced by making use of the C_n q-Dougall summation formula. Some applications are investigated. Finally, the case of elliptic C_n WP-Bailey pairs is discussed.

Key words: C_n WP-Bailey pair, C_n WP-Bailey chain, elliptic C_n WP-Bailey pair

张之正, 黄俊利. THE C_n WP-BAILEY CHAIN[J]. 数学物理学报(英文版), 2018, 38(6): 1789-1804.

Zhizheng ZHANG, Junli HUANG. THE C_n WP-BAILEY CHAIN[J]. Acta mathematica scientia,Series B, 2018, 38(6): 1789-1804.

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THE C_n WP-BAILEY CHAIN

THE C_n WP-BAILEY CHAIN

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