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Multivariable BC Type Askey-Wilson Polynomials With Partly Discrete Orthogonality Measure

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Abstract

The multivariable BC type Askey-Wilson polynomials are considered for a parameter domain such that the orthogonality measure has partly discrete and partly continuous support.

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References

  1. R. Askey, J. Wilson, “Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials,” Mem. Amer. Math. Soc. 54 (1985), no. 319.

  2. G.J. Heckman, E.M. Opdam, “Yang's system of particles and Hecke algebras,” preprint 1995. To appear in Annals of Math.

  3. T.H. Koornwinder, “Askey-Wilson polynomials for root systems of type BC,” Contemp. Math. 138(1992), pp. 189-204.

    Google Scholar 

  4. T.H. Koornwinder, “Compact quantum groups and q-special functions” in Representations of Lie groups and quantum groups (V. Baldoni and M. A. Picardello, eds.), Pitman Research Notes in Mathematics Series 311, Longman Scientific and Technical, 1994.

  5. I.G. Macdonald, “Orthogonal polynomials associated with root systems,” preprint (1988).

  6. M. Noumi, M.S. Dijkhuizen, T. Sugitani, “Multivariable Askey-Wilson polynomials and quantum complex Grassmannians,” to appear in the Proceedings of a Workshop on q-Series, Special Functions and Related Topics, Toronto (1995), Fields Inst. Comm.

  7. J.V. Stokman, “Multivariable big and little q-Jacobi polynomials,” Mathematical preprint series (Univ. of Amsterdam, 1995), report 95-16. To appear in Siam J. Math. Anal.

  8. J.V. Stokman, “Two limit transitions involving multivariable BC type Askey-Wilson polynomials,” Mathematical preprint series (Univ. of Amsterdam, 1996), report 96-01. To appear in the Proceedings of the Mini-Semester on Quantum Groups and Quantum Spaces, Warsaw (1995), Banach Center Publications.

  9. J.V. Stokman, T.H. Koornwinder, “Limit transitions for BC type multivariable orthogonal polynomials,” Mathematical preprint series (Univ. of Amsterdam, 1995), report 95-19. To appear in Canad. J. Math.

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  1. Faculty WINS, University of Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands

    Jasper V. Stokman

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  1. Jasper V. Stokman
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Stokman, J.V. Multivariable BC Type Askey-Wilson Polynomials With Partly Discrete Orthogonality Measure. The Ramanujan Journal 1, 275–297 (1997). https://doi.org/10.1023/A:1009757113226

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  • DOI: https://doi.org/10.1023/A:1009757113226

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