A note on Bailey and WP-Bailey Pairs

In this paper, we have established certain theorems involving Bailey pairs and WP-Bailey pairs. Further, making use of some known WP-Bailey pairs and theorems for constructing new WP-Bailey pairs, we have also established transformation formulas for q-hypergeometric series.

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Bibliographic Details
Published in:Applied mathematics and nonlinear sciences 2020-07, Vol.5 (2), p.143-156
Main Authors: Singh, Satya Prakash, Mishra, Lakshmi Narayan, Yadav, Vijay
Format: Article
Language:English
Subjects:
11A55
33D90
33F05
Bailey pair
basic(q-) hypergeometric series
Primary 33D15
Secondary 11F20
summation formula
transformation formula
WP-Bailey pair
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Description
Summary:In this paper, we have established certain theorems involving Bailey pairs and WP-Bailey pairs. Further, making use of some known WP-Bailey pairs and theorems for constructing new WP-Bailey pairs, we have also established transformation formulas for q-hypergeometric series.
ISSN:2444-8656
2444-8656
DOI:10.2478/amns.2020.2.00021