Rodrigues type formula for orthogonal polynomials on the unit ball

Xu, Yuan

doi:10.1090/S0002-9939-05-07885-8

Rodrigues type formula for orthogonal polynomials on the unit ball
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Proc. Amer. Math. Soc. 133 (2005), 1965-1976 Request permission

Abstract:

For a class of weight functions invariant under reflection groups on the unit ball, a family of orthogonal polynomials is defined via a Rodrigues type formula using the Dunkl operators. Their properties and their relation with several other bases are explored.

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