Open AccessSome new transformation formulas deriving from Bailey pairs and WP-Bailey pairs
Author(s) -
S. Nie,
Zhizheng Zhang
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2103941n
Subject(s) - mathematics , basic hypergeometric series , transformation (genetics) , series (stratigraphy) , hypergeometric function , hypergeometric distribution , hypergeometric identity , algebra over a field , bilateral hypergeometric series , generalized hypergeometric function , pure mathematics , hypergeometric function of a matrix argument , paleontology , biochemistry , chemistry , biology , gene
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.