ON CERTAIN IDENTITIES FOR ROGERS-RAMANUJAN CONTINUED  FRACTION

Vinay G.; Shwetha H. T.

ON CERTAIN IDENTITIES FOR ROGERS-RAMANUJAN CONTINUED FRACTION

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

Volume 16, Issue 3 Pages 105-112 December 30, 2020 311 downloads

Article overview

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 equationsTheta functionsContinued fractionEta functions and Rogers-Ramanujan identities.

AMS Subject Classification

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

Reference information

How to Cite

Vinay G., Shwetha H. T. (2020). ON CERTAIN IDENTITIES FOR ROGERS-RAMANUJAN CONTINUED FRACTION. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 105-112.

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