Hammond, Paul, Lewis, Richard and Liu, Zhi-Guo (1999) Hirschhorn's identities. Bulletin of the Australian Mathematical Society, 60 (1). pp. 73-80. ISSN 0004-9727

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PDF (Identities proposed by M. Hirschhorn are proved, as is Winquist's identity, and an identity of Jacobi.) - Published Version Download (784kB) | Preview

Abstract

We prove a general identity between power series and use this identity to give proofs of a number of identities proposed by M.D. Hirschhorn. We also use the identity to give proofs of a well-known result of Jacobi, the quintuple-product identity and Winquist's identity

Item Type:	Article
Keywords:	Identity, q-series, Hirschhorn, Jacobi, Winquist, elliptic functions, power series, residue, pole
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0101 Elementary mathematics. Arithmetic
Related URLs:	http://journals.cambridge.org/action/dis...
Depositing User:	Paul Hammond
Date Deposited:	23 Nov 2012 09:40
Last Modified:	03 Jul 2019 01:19
URI:	http://sro.sussex.ac.uk/id/eprint/42947

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• Hirschhorn's identities. (deposited 19 Nov 2012 06:40)
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