International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 694251, 10 pages
http://dx.doi.org/10.1155/2012/694251
Research Article

Modular Identities and Explicit Evaluations of a Continued Fraction of Ramanujan

Nipen Saikia

Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India

Received 23 March 2012; Accepted 11 June 2012

Academic Editor: Stefaan Caenepeel

Copyright © 2012 Nipen Saikia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study a new continued fraction of Ramanujan. We prove its modular identities and give some explicit evaluations.