<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

A note on Bailey and WP-Bailey Pairs

Department of Mathematics, School of Advanced Sciences

Vellore Institute of Technology (VIT) University

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"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...

A note on Bailey and WP-Bailey Pairs

Published Online: Aug 20, 2020

Page range: 143 - 156

Received: Sep 20, 2019

Accepted: Jan 18, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00021

Keywords
Bailey pair, WP-Bailey pair, transformation formula, summation formula, basic(q-) hypergeometric series

© 2020 Satya Prakash Singh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A note on Bailey and WP-Bailey Pairs

Published Online: Aug 20, 2020

Page range: 143 - 156

Received: Sep 20, 2019

Accepted: Jan 18, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00021

KeywordsBailey pair, WP-Bailey pair, transformation formula, summation formula, basic(q-) hypergeometric series

© 2020 Satya Prakash Singh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Bailey pair, WP-Bailey pair, transformation formula, summation formula, basic(q-) hypergeometric series