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Rodrigues type formula for orthogonal polynomials on the unit ball |
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| Authors: | Yuan Xu |
| Affiliation: | Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222 |
| 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. |
| Keywords: | Orthogonal polynomials on a unit ball Rodrigues type formula biorthogonal polynomials reflection invariant weight function |
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