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 | Total Downloads : 134

Volume : 16 , Issue : 1
DOI:
Author :
Nidhi Sahni (Department of Mathematics, Sharda University, Greater Noida-201308, INDIA)
Priyanka Singh (Department of Mathematics TDPG College, Jaunpur-222002 (UP), INDIA)
Mohmmad Shahjade (Department of Mathematics, MANUU Poly. 8th Cross, 1st Stage, 3rd Block, Nagarbhavi, Banglore-72, INDIA)

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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