CERTAIN IDENTITIES RELATED TO THE ROGERS-RAMANUJAN CONTINUED FRACTION
Print ISSN: 0972-7752 | Online ISSN: |
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.
.....