ON CERTAIN IDENTITIES FOR ROGERS-RAMANUJAN CONTINUED FRACTION

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 160

Volume : 16 , Issue : 3
DOI:
Author :
Vinay G. (Department of Mathematics, Yuvaraja s College, University of Mysore, Mysuru - 570005, INDIA)
Shwetha H. T. (Department of Mathematics, Vidyavardhaka College of Engineering, Mysuru - 570002, INDIA)

Abstract

In this paper, we establish relation between Rogers-Ramanujan continued fraction $R(q)$, $R(q^2)$, $R(q^n)$ and $R(q^{2n})$ for $ n = 7, 13 and 17. $

Keywords and Phrases

Modular equations, Theta functions, Continued fraction, Eta functions and Rogers-Ramanujan identities.

A.M.S. subject classification

11F20, 33C75, 11A55, 11R42, 11P84.

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