Vanishing integrals of macdonald and koornwinder polynomials

Transformation Groups

Volumn 12, Issue 4, 2007, Pages 725-759

  Rains, Eric M ^a   Vazirani, Monica ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37049033314     PISSN: 10834362     EISSN: 1531586X     Source Type: Journal    
DOI: 10.1007/s00031-007-0058-3     Document Type: Article

References (12)

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4. P. I. Etingof, A. A. Kirillov, Jr., On the affine analogue of Jack and Macdonald polynomials, Duke Math. J. 78 (1995), no. 2, 229-256.
5. R. A. Gustafson, A generalization of Selberg's beta integral, Bull. Amer. Math. Soc. (NS) 22 (1990), no. 1, 97-105.
6. T. H. Koornwinder, Askey-Wilson polynomials for root systems of type BC, in: Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications (Tampa, FL, 1991), Contemp. Math., Vol. 138, Amer. Math. Soc., Providence, RI, 1992, pp. 189-204.
7. I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 2nd ed., 1995. With contributions by A. Zelevinsky, Oxford Science Publications.
8. A. A. Oblomkov, J. V. Stokman, Vector valued spherical functions and Macdonald-Koornwinder polynomials, Compos. Math. 141 (2005), no. 5, 1310-1350.
9. E. M. Rains, Elliptic Littlewood identities, in preparation.
10. n-symmetric polynomials, Transform. Groups 10 (2005), no. 1, 63-132.
11. E. M. Rains, Limits of elliptic hypergeometric integrals, arXiv:math.CA/0607093, Ramanujan J. (to appear).
12. n-symmetric Abelian functions, Duke Math. J. 135 (2006), no. 1, 99-180.