ON HYPERGEOMETRIC PROOF OF CERTAIN CONTINUED FRACTION RESULTS

Print ISSN: 2319-1023

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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