On certain transformation formulae for q-series

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 85

Volume : 2 , Issue : 2
DOI:
Author :
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.))

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-series, basic hypergeometric series, basic bilateral hypergeometric series, transformation formula, summation formula, continued fraction and q-series identity.

A.M.S. subject classification

33A30, 33D15, 33D20.

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