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A new proof of the Macdonald identities for An−1

Part of: Basic hypergeometric functions Combinatorics

Published online by Cambridge University Press:  09 April 2009

Shaun Cooper
Shaun Cooper
Affiliation:
Department of Mathematics Massey UniversityAlbany AucklandNew Zealand e-mail: s.cooper@massey.ac.nz
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Abstract

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A new, elementary proof of the Macdonald identities for An−1 using induction on n is given. Specifically, the Macdonald identity for An is deduced by multiplying the Macdonald identity for An−1 and n Jacobi triple product identities together.

MSC classification

Secondary: 33D70: Other basic hypergeometric functions and integrals in several variables 05A19: Combinatorial identities, bijective combinatorics
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 62 , Issue 3 , June 1997 , pp. 345 - 360
Copyright
Copyright © Australian Mathematical Society 1997

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