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
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.