On Hypergeometric Proof of Certain Continued Fraction Results

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 144

Volume : 11 , Issue : 1
DOI:
Author :
Bindu Prakash Mishra, (Department of Mathematics, M.D. College, Parel, Mumbai-400012, India)
Swatantra Shukla* (*Department of Mathematics, Hadia PG College, Hadia Allahabad, U.P.)
Jitendra Prasad** (**Department of Mathematics, J.P. University, Chapra, Bihar)

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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