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

Print ISSN: 0972-7752

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.

.....

View PDF Click here to Subscribe now