Hirschhorn's identities

Paul Hammond; Richard Lewis; Zhi Guo Liu

doi:10.1017/s0004972700033347

Hirschhorn's identities

Paul Hammond^*
, Richard Lewis
, Zhi Guo Liu

^*Corresponding author for this work

University of Sussex

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	73-80
Number of pages	8
Journal	Bulletin of the Australian Mathematical Society
Volume	60
Issue number	1
DOIs	https://doi.org/10.1017/s0004972700033347
State	Published - Aug 1999
Externally published	Yes

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title = "Hirschhorn's identities",

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.",

author = "Paul Hammond and Richard Lewis and Liu, \{Zhi Guo\}",

year = "1999",

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AB - 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.

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DO - 10.1017/s0004972700033347

M3 - 文章

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SN - 0004-9727

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JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

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Hirschhorn's identities

Abstract

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