On Watson's quintuple product identity

Subbarao, M. V. ; Vidyasagar, M. (1970) On Watson's quintuple product identity Proceedings of the American Mathematical Society, 26 . pp. 23-27. ISSN 0002-9939

PDF - Publisher Version

Official URL: http://www.ams.org/journals/proc/1970-026-01/S0002...


In 1929, in the course of proving certain results stated by Ramanujan concerning his continued fraction, G.N. Watson proved an identity involving five infinite products and an infinite series. In 1938, Watson proved another identity which again involved five products. Finally in 1961, one more quintuple product identity was established, this time by Basil Gordon. We show here that all these identities are equivalent. Also, with the help of the quintuple product identity and Jacobi's triple product identity, we establish two new identities involving only series.

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:56117
Deposited On:22 Aug 2011 12:27
Last Modified:18 May 2016 08:04

Repository Staff Only: item control page