J Austral Math Soc Ser A 44 pp42--45, 1988.

A Generalisation of the Quintuple Product Identity

M. D. Hirschhorn

(Received 15 August 1985; revised 27 August 1986)

Abstract

The quintuple product identity has appeared many times in the literature. Indeed, no fewer than 12 proofs have been given. We establish a more general identity from which the quintuple product identity follows in two ways.

1980 AMS Subject Classification: 05A17, 05A19, 11P57

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Authors

M. D. Hirschhorn: School of Mathematics, University of New South Wales, Kensignton, N.S.W. 2033, Australia.

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Last Modified: Wed Feb 19 10:27:48 2003