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The Rahman polynomials are bispectral.

Grünbaum, F. Alberto — 2007

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory

F. Alberto Grünbaum; Inés Pacharoni; Juan Alfredo Tirao — 2005

Annales de l’institut Fourier

The main purpose of this paper is to present new families of Jacobi type matrix valued orthogonal polynomials obtained from the underlying group $S U (n)$ and its representations. These polynomials are eigenfunctions of some symmetric second order hypergeometric differential operator with matrix coefficients. The final result holds for arbitrary values of the parameters $α, β > - 1$ , but it is derived only for those values that come from the group theoretical setup.

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