On continued fraction representations of certain function of hypergeometric type

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 183

Volume : 1 , Issue : 2
DOI:
Author :
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.)

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 function, continued fraction, mock theta function, Rogers- Ramanujan identity.

A.M.S. subject classification

33D15, 11A55

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