International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 54901, 15 pages
doi:10.1155/IJMMS/2006/54901

Modular relations and explicit values of Ramanujan-Selberg continued fractions

Nayandeep Deka Baruah and Nipen Saikia

Department of Mathematical Sciences, Tezpur University, Napaam 784028, Assam, India

Received 12 September 2005; Revised 13 April 2006; Accepted 25 April 2006

Copyright © 2006 Nayandeep Deka Baruah and 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

By employing a method of parameterizations for Ramanujan's theta-functions, we find several modular relations and explicit values of the Ramanujan-Selberg continued fractions.