FoCM 2014 conference

Workshop C5 - Special Functions and Orthogonal Polynomials

December 20, 15:00 ~ 15:30 - Room A21

Branching formula for Macdonald-Koornwinder polynomials

Jan Felipe van Diejen

Universidad de Talca, Chile   -

The six-parameter Macdonald-Koornwinder polynomials with hyperoctahedral symmetry form a multivariate generalization of the well-known Askey-Wilson polynomials. We present a branching formula that expands the Macdonald-Koornwinder polynomials in n+1 variables in terms of the n-variable polynomials. This formula allows one to construct the Macdonald-Koornwinder polynomials explicitly by induction in the number of variables.

Joint work with Erdal Emsiz (Pontificia Universidad Católica de Chile, Chile).

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