On Hypergeometric Proof of Certain Continued Fraction Results

Bindu Prakash Mishra,; Swatantra Shukla*; Jitendra Prasad**

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

Volume 11, Issue 1 Pages 115-122 April 30, 2015 189 downloads

Article overview

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 functionq-seriescontinued fractionRamanujan's theta functions.

AMS Subject Classification

33A30, 33D15, 33D20.

Reference information

How to Cite

Bindu Prakash Mishra,, Swatantra Shukla*, Jitendra Prasad** (2015). On Hypergeometric Proof of Certain Continued Fraction Results. South East Asian Journal of Mathematics and Mathematical Sciences, 11(1), 115-122.

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