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Research Article

On Transformation Formulae for q-Series

D
Dr. B.P. Mishra M.D. college, Parel, Mumbai
D
Dr. S.N. Singh Govt. Of Maharashtra, Sydenham College of Commerce & Economics
D
Dr. Sunil Singh
Volume 3, Issue 1 Pages 15-30 June 30, 2014 222 downloads
Article overview

Abstract

In this paper, we have established two identities by making use of Bailey transform and bilateral Bailey transform. Using these identities and some known summation formulae, certain transformation formulae for basic hypergeo- metric series as well as for poly-basic hypergeometric series have been established.

Keywords and Phrases

Bailey transformsummation and transformation for- mulaeBilateral basic hypergeometric seriespoly-basic hypergeometric series and q-series.

AMS Subject Classification

33A30, 33D15, 11B65, 05A30

Reference information

How to Cite

Dr. B.P. Mishra, Dr. S.N. Singh, Dr. Sunil Singh (2014). On Transformation Formulae for q-Series. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 3(1), 15-30.
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