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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
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Research Article

CERTAIN IDENTITIES RELATED TO THE ROGERS-RAMANUJAN CONTINUED FRACTION

K
Khaled A. A. Alloush Department of Mathematics King Saud University, Riyadh-12373, Saudi Arabia
M
M. Manjunath Department of Mathematics, P E S College of Science, Mandya, India
K
K. R. Rajanna Department of Mathematics Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Main Road, Bangalore-560090 India
Volume 12, Issue 1 Pages 25-44 April 30, 2016 221 downloads
Article overview

Abstract

In this paper, we employ some theta function identities of Ramanujan to establish certain new theta function identities related to the Rogers-Ramanujan continued fraction. Furthermore, we derive certain general formulas for explicit evaluations of the Rogers-Ramanujan continued fraction.

Keywords and Phrases

Theta-functionmodular equationsRogers-Ramanujan continued fraction.

AMS Subject Classification

11B65, 11A55, 30B70, 11F27, 40A15.

Reference information

How to Cite

Khaled A. A. Alloush, M. Manjunath, K. R. Rajanna (2016). CERTAIN IDENTITIES RELATED TO THE ROGERS-RAMANUJAN CONTINUED FRACTION. South East Asian Journal of Mathematics and Mathematical Sciences, 12(1), 25-44.
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