APPLICATION OF CONJUGATE BAILEY PAIR AND CONJUGATE WP-BAILEY PAIR TO ESTABLISH SUMMATIONS AND $q$- SERIES IDENTITIES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

In this paper, making use of Bailey pair, conjugate Bailey pair, WP-Bailey pair and conjugate WP-Bailey pair, four theorems have been established which yield certain double series identities as special cases.

Keywords and Phrases

Bailey pair, WP-Bailey pair, conjugate Bailey pair, conjugate WP-Bailey pair, summation formula and identities.

A.M.S. subject classification

Primary 11A55, 33D15, 33D90; Secondary 11F20, 33F05.

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