International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 370390, 9 pages
doi:10.1155/2009/370390
Research Article

A Note on Four-Variable Reciprocity Theorem

Chandrashekar Adiga and P. S. Guruprasad

Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore 570 006, India

Received 12 September 2009; Accepted 7 December 2009

Academic Editor: Teodor Bulboacă

Copyright © 2009 Chandrashekar Adiga and P. S. Guruprasad. 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 give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's ψ11-summation formula. We also obtain a generalization of Jacobi's triple product identity.