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A note on Bailey and WP-Bailey Pairs

Satya Prakash Singh

Satya Prakash Singh

Department of Mathematics, TDPG CollegeJaunpur, India
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Singh, Satya Prakash
, 
Lakshmi Narayan Mishra

Lakshmi Narayan Mishra

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) UniversityVellore, India
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Mishra, Lakshmi Narayan
 and 
Vijay Yadav

Vijay Yadav

Department of Mathematics, SPDT CollegeAndheri(E), Mumbai, India
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Yadav, Vijay
  
Aug 20, 2020
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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
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© 2020 Satya Prakash Singh et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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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