On certain transformation formulae for q-series

Bindu Prakash Mishra,; Amit Kumar Singh*; Rajnish Kant Upadhyay**

Bindu Prakash Mishra, Department of Mathematics, M.D. College, Parel, Mumbai-400012, India

Amit Kumar Singh* Department of Mathematics, T.D.P.G. College, Jaunpur-222002 (U.P.) India

Rajnish Kant Upadhyay** ** Department of Mathematics, S.N.P.G. College, Azamgarh (U.P.)

Volume 2, Issue 2 Pages 83-88 December 30, 2013 222 downloads

Article overview

Abstract

In this paper, making use of Ramanujan's 1 1 summation formulae and some known transformation formulae for 2 1 series, we have established certain interesting transformation formulae for q-series.

Keywords and Phrases

q-seriesbasic hypergeometric seriesbasic bilateral hypergeometric seriestransformation formulasummation formulacontinued fraction and q-series identity.

AMS Subject Classification

33A30, 33D15, 33D20.

Reference information

How to Cite

Bindu Prakash Mishra,, Amit Kumar Singh*, Rajnish Kant Upadhyay** (2013). On certain transformation formulae for q-series. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 2(2), 83-88.

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