Properties of some families of hypergeometric orthogonal polynomials in several variables
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- by J. F. van Diejen PDF
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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 (squared) norms of the polynomials in question.References
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Additional Information
- J. F. van Diejen
- Affiliation: Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153, Japan
- Address at time of publication: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago 1, Chile
- MR Author ID: 306808
- ORCID: 0000-0002-5410-8717
- Received by editor(s): April 8, 1996
- Received by editor(s) in revised form: November 25, 1996
- Additional Notes: Work supported by the Japan Society for the Promotion of Science (JSPS) and by a Monbusho Grant-in-Aid.
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 233-270
- MSC (1991): Primary 33C50; Secondary 33D45
- DOI: https://doi.org/10.1090/S0002-9947-99-02000-0
- MathSciNet review: 1433128