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

Nidhi Sahni; Priyanka Singh; Mohmmad Shahjade

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

Volume 16, Issue 1 Pages 65-78 April 30, 2020 240 downloads

Article overview

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 pairWP-Bailey pairconjugate Bailey pairconjugate WP-Bailey pairsummation formula and identities.

AMS Subject Classification

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

Reference information

How to Cite

Nidhi Sahni, Priyanka Singh, Mohmmad Shahjade (2020). APPLICATION OF CONJUGATE BAILEY PAIR AND CONJUGATE WP-BAILEY PAIR TO ESTABLISH SUMMATIONS AND $q$- SERIES IDENTITIES. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1), 65-78.

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