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Research Article

GENERALIZATION OF CERTAIN CONTINUED FRACTIONS OF SRINIVASA RAMANUJAN

S
Shyamli Gupta Department of Mathematics, Institute of Basic Science, Khandari Campus, Dr. Bhim Rao Ambedkar University, Agra, U.P., INDIA
Volume 13, Issue 2 Pages 19-26 October 31, 2017 260 downloads
Article overview

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 seriesbasic hypergeometric seriesq-series and continued fractions.

AMS Subject Classification

33D15, 11A55.

Reference information

How to Cite

Shyamli Gupta (2017). GENERALIZATION OF CERTAIN CONTINUED FRACTIONS OF SRINIVASA RAMANUJAN. South East Asian Journal of Mathematics and Mathematical Sciences, 13(2), 19-26.
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