A Product of Theta-Functions Analogous to Ramanujans Remarkable Product of Theta-Functions and ApplicationsReportar como inadecuado




A Product of Theta-Functions Analogous to Ramanujans Remarkable Product of Theta-Functions and Applications - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Journal of MathematicsVolume 2013 2013, Article ID 620756, 5 pages

Research ArticleDepartment of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh 791112, Arunachal Pradesh, India

Received 24 September 2012; Accepted 12 November 2012

Academic Editor: Andrea Pascucci

Copyright © 2013 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 define a product for any positive real numbers and involvingRamanujan-s theta-functions and which is analogous to Ramanujan-s remarkable product oftheta-functions recorded by Ramanujan 1957 and study its several properties. We prove general theorems for the explicit evaluations of and find some explicit values. As application of the product , we also offer explicit formulas for explicit values of Ramanujan-scontinued fraction in terms of and give examples.





Autor: Nipen Saikia

Fuente: https://www.hindawi.com/



DESCARGAR PDF




Documentos relacionados