ON HYPERGEOMETRIC PROOF OF CERTAIN CONTINUED FRACTION RESULTS

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 147

Volume : 1 , Issue : 1
DOI:
Author :
Remy Y. Denis (University of Gorakhpur)
S.N.Singh (T.D.P.G. College, Jaunpur - 222002,(U.P.) India.)
S.P. Singh ()

Abstract

In this paper, we provide hypergeometric proof of certain results and deduce a number of new and known results. This result is equivalent to Entry 12 of Chapter XVI of Ramanujan’s second Notebook.

Keywords and Phrases

Basic hypergeometric functions, q-series, continued fractions, Ra- manujan’s theta functions,

A.M.S. subject classification

33A30,33D15,33D20.

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