On Hypergeometric Proof of Certain Continued Fraction Results

Print ISSN: 0972-7752

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 function, q-series, continued fraction, Ramanujan's theta functions.

A.M.S. subject classification

33A30, 33D15, 33D20.

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