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

• 论文 • 上一篇    下一篇

THE Cn WP-BAILEY CHAIN

张之正1, 黄俊利2   

  1. 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 Cn WP-BAILEY CHAIN

Zhizheng ZHANG1, Junli HUANG2   

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

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

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

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