GENERALIZATION OF CERTAIN CONTINUED FRACTIONS OF SRINIVASA RAMANUJAN

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 142

Volume : 13 , Issue : 2
DOI:
Author :
Shyamli Gupta (Department of Mathematics, Institute of Basic Science, Khandari Campus, Dr. Bhim Rao Ambedkar University, Agra, U.P., INDIA)

Abstract

In this paper we have established certain continued fraction representation for the ratio of abnormal basic hypergeometric series with some of its contiguous functions. We have also obtained some interesting special cases of our continued fraction expansions which generalize some famous q-continued fraction identities of Srinivasa Ramanujan.

Keywords and Phrases

Abnormal basic hypergeometric series, basic hypergeometric series, q-series and continued fractions.

A.M.S. subject classification

33D15, 11A55.

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