dorsal/arxiv
View SchemaProperties of some families of hypergeometric orthogonal polynomials in several variables
| Authors | Jan F. van Diejen |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9604004 |
| URL | https://arxiv.org/abs/q-alg/9604004 |
| DOI | 10.1090/S0002-9947-99-02000-0 |
| Journal | Trans. Amer. Math. Soc. 351 (1999), 233--270 |
Abstract
Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of multivariable Wilson, continuous Hahn and Jacobi type polynomials, respectively. For each class of polynomials we provide systems of difference (or differential) equations, recurrence relations, and expressions for the norms of the polynomials in terms of the norm of the constant polynomial.
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"abstract": "Limiting cases are studied of the Koornwinder-Macdonald multivariable\ngeneralization of the Askey-Wilson polynomials. We recover recently and not so\nrecently introduced families of hypergeometric orthogonal polynomials in\nseveral variables consisting of multivariable Wilson, continuous Hahn and\nJacobi type polynomials, respectively. For each class of polynomials we provide\nsystems of difference (or differential) equations, recurrence relations, and\nexpressions for the norms of the polynomials in terms of the norm of the\nconstant polynomial.",
"arxiv_id": "q-alg/9604004",
"authors": [
"Jan F. van Diejen"
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"doi": "10.1090/S0002-9947-99-02000-0",
"journal_ref": "Trans. Amer. Math. Soc. 351 (1999), 233--270",
"title": "Properties of some families of hypergeometric orthogonal polynomials in several variables",
"url": "https://arxiv.org/abs/q-alg/9604004"
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