Some new transformation formulas deriving from Bailey pairs and WP-Bailey pairs
Filomat, Tome 35 (2021) no. 3, p. 941
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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
Classification :
5A30, 33D15, 11F27, 33D15, 33D65
Keywords: Bailey pair, WP-Bailey pair, WP-Bailey pair chain, Basic hypergeometric series
Keywords: Bailey pair, WP-Bailey pair, WP-Bailey pair chain, Basic hypergeometric series
Shuyuan Nie; Zhizheng Zhang. Some new transformation formulas deriving from Bailey pairs and WP-Bailey pairs. Filomat, Tome 35 (2021) no. 3, p. 941 . doi: 10.2298/FIL2103941N
@article{10_2298_FIL2103941N,
author = {Shuyuan Nie and Zhizheng Zhang},
title = {Some new transformation formulas deriving from {Bailey} pairs and {WP-Bailey} pairs},
journal = {Filomat},
pages = {941 },
year = {2021},
volume = {35},
number = {3},
doi = {10.2298/FIL2103941N},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103941N/}
}
TY - JOUR AU - Shuyuan Nie AU - Zhizheng Zhang TI - Some new transformation formulas deriving from Bailey pairs and WP-Bailey pairs JO - Filomat PY - 2021 SP - 941 VL - 35 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2103941N/ DO - 10.2298/FIL2103941N LA - en ID - 10_2298_FIL2103941N ER -
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