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

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 228

Volume : 1 , Issue : 1
DOI:
Author :
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)

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-series, basic hypergeometric series, Clausen identities.

A.M.S. subject classification

33A30.

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