ON REDUCIBILITY OF CERTAIN q-DOUBLE HYPERGEOMETRIC SERIES AND CLAUSEN TYPE IDENTITIES

Remy Y. Denis; S.N.Singh; S.P.Singh

Remy Y. Denis Dept. of Math. Gorakhpur University, Gorakhpur-273009, India

S.N.Singh Dept. of Math.T.D.P.G. College, Jaunpur-222002, India

S.P.Singh Dept. of Math.T.D.P.G. College, India

Volume 1, Issue 1 Pages 1-17 December 31, 2002 367 downloads

Article overview

Abstract

In this paper, a method has been developed to establish certain transformations of double q-series in terms of basic hypergeometric functions of one variable. These results lead to certain interesting Clausen type identities. We also discuss certain continued fraction representations involving q-series.

Keywords and Phrases

q-seriesbasic hypergeometric seriesClausen identities.

AMS Subject Classification

33A30.

Reference information

How to Cite

Remy Y. Denis, S.N.Singh, S.P.Singh (2002). ON REDUCIBILITY OF CERTAIN q-DOUBLE HYPERGEOMETRIC SERIES AND CLAUSEN TYPE IDENTITIES. South East Asian Journal of Mathematics and Mathematical Sciences, 1(1), 1-17.

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