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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.)
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Official URL: http://dx.doi.org/10.1017/S0004972700033347
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 |
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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: | |
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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