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 - diejen@inst-mat.utalca.cl

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).