Hirschhorn's identities

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
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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
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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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