CERTAIN IDENTITIES RELATED TO THE ROGERS-RAMANUJAN CONTINUED FRACTION

Authors

  • 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)

Keywords:

Theta-function, modular equations, Rogers-Ramanujan continued fraction.

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.

 

Downloads

Published

2023-06-15

Issue

Vol. 12 No. 01 (2016): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles