On WP-Bailey pairs and Transformation Formulae for Ordinary Hypergeometric Series
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DOI:
Author :
S.N.Singh (Department of Mathematics, T.D.P.G. College, Jaunpur-222002 (U.P.) India)
Rama Jain, (Department of Mathematics MVPG College Lucknow UP India)
Priyanka Singh, (Department of Mathematics, T.D.P.G. College, Jaunpur-222002 (U.P.) India)
Abstract
n this paper, denition of WP-Bailey pair for ordinary hypergeometric series has been given. Using this denition and some known summations, certain WP-Bailey pairs for ordinary hypergeometric series have been established. These WP-Bailey pairs have been utilized for establishing transformation formulae for ordinary hypergeometric series.
Keywords and Phrases
Ordinary hypergeometric series, WP-Bailey pair, trans- formation formula and summation formula.
A.M.S. subject classification
33D15
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