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On the product Πn≧1 (1 + qn x + q2n x2)

Published online by Cambridge University Press:  09 April 2009

Kung-Wei Yang
Kung-Wei Yang
Affiliation:
Department of Mathematics and Statistics, Western Michigan University Kalamazoo, Michigan 49008, U.S.A.
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Abstract

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We study the coefficients An in the expansion of the infinite product We first derive a recurrence relation for An and from it we obtain an explicit expression of An. We then prove a convolution identity involving An.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 1 , February 1990 , pp. 148 - 151
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Andrews, G. E., ‘Hecke modular forms and Kac-Peterson identities’, Trans. Amer. Math. Soc. 283 (1984), 451–458.CrossRefGoogle Scholar
[2]Andrews, G. E., ‘Generalized Frobenius partitions’, Mem. Amer. Math. Soc. 49 (1984), No. 301.Google Scholar