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Hirschhorn's identities

Published online by Cambridge University Press:  17 April 2009

Paul Hammond ,
Richard Lewis  and
Zhi-Guo Liu
Paul Hammond
Affiliation:
SMSThe University of SussexBrighton BN1 9QHUnited Kingdom
Richard Lewis
Affiliation:
SMSThe University of SussexBrighton BN1 9QHUnited Kingdom
Zhi-Guo Liu
Affiliation:
SMSThe University of SussexBrighton BN1 9QHUnited Kingdom
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 1 , August 1999 , pp. 73 - 80
Copyright
Copyright © Australian Mathematical Society 1999

References

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