GENERALIZATION OF CERTAIN CONTINUED FRACTIONS OF SRINIVASA RAMANUJAN

Authors

  • Shyamli Gupta (Department of Mathematics, Institute of Basic Science, Khandari Campus, Dr. Bhim Rao Ambedkar University, Agra, U.P., INDIA)

Keywords:

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

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.

 

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Published

2023-06-15

Issue

Vol. 13 No. 02 (2017): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles