A product formula for multivariate Rogers-Szegő polynomials

Abstract

Let Hn(t) denote the classical Rogers-Szegő polynomial, and let H̃n(t1, . . . , tl) denote the homogeneous Rogers-Szegő polynomial in l variables, with indeterminate q. There is a classical product formula for Hk(t)Hn(t) as a sum of Rogers-Szegő polynomials with coefficients being polynomials in q. We generalize this to a product formula for the… (More)

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Cite this paper

@inproceedings{Cameron2014APF, title={A product formula for multivariate Rogers-Szegő polynomials}, author={Stephen Cameron and Ryan Vinroot}, year={2014} }