CERTAIN IDENTITIES RELATED TO THE ROGERS-RAMANUJAN CONTINUED FRACTION
Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 93
DOI:
Author :
Khaled A. A. Alloush (Department of Mathematics King Saud University, Riyadh-12373, Saudi Arabia)
M. Manjunath (Department of Mathematics, P E S College of Science, Mandya, India)
K. R. Rajanna (Department of Mathematics Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Main Road, Bangalore-560090 India)
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-function, modular equations, Rogers-Ramanujan continued fraction.
A.M.S. subject classification
11B65, 11A55, 30B70, 11F27, 40A15.
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