CERTAIN IDENTITIES RELATED TO THE ROGERS-RAMANUJAN CONTINUED FRACTION

Print ISSN: 0972-7752

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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