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Research Article

On summation and transformation formulae for basic hypergeometric series

B
Bindu Prakash Mishra, Department of Mathematics,M.D. College, Parel, Mumbai
S
S.N. Dubey* *Department of Mathematics, J.P. University, Chappra, Bihar India
J
Jitendra Prasad* *Department of Mathematics, J.P. University, Chappra, Bihar India
Volume 2, Issue 1 Pages 53-72 June 30, 2013 205 downloads
Article overview

Abstract

In this paper, making use of some known WP-Bailey pairs and theorems for constructing new WP-Bailey pairs from a known WP-Bailey pair, we have established transformation formulae for basic hypergeometric series.

Keywords and Phrases

Bailey transform/ Bailey pair/ WP-Bailey pair/ transformation formula/ summation formula.

AMS Subject Classification

33D15, 11B65.

Reference information

How to Cite

Bindu Prakash Mishra,, S.N. Dubey*, Jitendra Prasad* (2013). On summation and transformation formulae for basic hypergeometric series. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 2(1), 53-72.
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