On continued fraction representations of certain function of hypergeometric type

S. Ahmad Ali; *Syed Siddique Mustafa Rizvi,

S. Ahmad Ali Department of Mathematics, BBD University, Lucknow (U.P.) India.

*Syed Siddique Mustafa Rizvi, * Department of Mathematics, RR Institute of Modern Technology, Lucknow (U.P.) India.

Volume 1, Issue 2 Pages 77-86 December 30, 2012 201 downloads

Article overview

Abstract

In the present work we have established a number of continued fraction representations for the function F(a,b,q) which is a special case of Heine function. Our results produce certain new and many known results in the literature as their special cases.

Keywords and Phrases

Heine’s functioncontinued fractionmock theta functionRogers- Ramanujan identity.

AMS Subject Classification

33D15, 11A55

Reference information

How to Cite

S. Ahmad Ali, *Syed Siddique Mustafa Rizvi, (2012). On continued fraction representations of certain function of hypergeometric type. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 1(2), 77-86.

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