Certain identities for Ramanujan-Göllnitz-Gordon continued fraction

K. R. Vasuki; B. R Srivatsa Kumar

doi:10.1016/j.cam.2005.03.038

Certain identities for Ramanujan-Göllnitz-Gordon continued fraction

K. R. Vasuki^*, B. R Srivatsa Kumar

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

In this paper, we present three new identities providing relations between Ramanujan-Göllnitz-Gordon continued fraction H(q) and the three continued fractions H(q5), H(q7) and H(q11). We also give a new approach for relations between H(q) and H(q3) which is due to Chan and Huang [Ramanujan J. 1 (1997) 75-90].

Original language	English
Pages (from-to)	87-95
Number of pages	9
Journal	Journal of Computational and Applied Mathematics
Volume	187
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2005.03.038
Publication status	Published - 01-03-2006

All Science Journal Classification (ASJC) codes

Applied Mathematics
Computational Mathematics
Numerical Analysis

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abstract = "In this paper, we present three new identities providing relations between Ramanujan-G{\"o}llnitz-Gordon continued fraction H(q) and the three continued fractions H(q5), H(q7) and H(q11). We also give a new approach for relations between H(q) and H(q3) which is due to Chan and Huang [Ramanujan J. 1 (1997) 75-90].",

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N2 - In this paper, we present three new identities providing relations between Ramanujan-Göllnitz-Gordon continued fraction H(q) and the three continued fractions H(q5), H(q7) and H(q11). We also give a new approach for relations between H(q) and H(q3) which is due to Chan and Huang [Ramanujan J. 1 (1997) 75-90].

AB - In this paper, we present three new identities providing relations between Ramanujan-Göllnitz-Gordon continued fraction H(q) and the three continued fractions H(q5), H(q7) and H(q11). We also give a new approach for relations between H(q) and H(q3) which is due to Chan and Huang [Ramanujan J. 1 (1997) 75-90].

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Certain identities for Ramanujan-Göllnitz-Gordon continued fraction

Abstract

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