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References
K. Aomoto, Jacobi polynomials associated with Selberg integrals, SIAM J. Math. Analysis, to appear.
A. Debiard, Polynômes de Tchébychev et de Jacobi dans un espace euclidien de dimension p, C.R. Acad. Sc. Paris 296 (1983) Série I, 529–532.
F.J. Dyson, Statistical theory of the energy levels of complex systems I, J. Math. Phys., 3(1962) 140–156.
R.H. Farrell, Multivariate calculation, Springer-Verlag (1985).
S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press (1978).
L.-K. Hua, Harmonic analysis of functions of several complex variables in the classical domains, AMS Translations 6 (1963).
H. Jack, A class of symmetric polynomials with a parameter, Proc. R.S. Edinburgh 69A (1970) 1–18.
A.T. James, Zonal polynomials of the real positive definite symmetric matrices, Ann. Math. 74 (1961) 456–469.
K. Kadell, A proof of some q-analogs of Selberg's integral for k=1, SIAM J. Math. Analysis, to appear.
I.G. Macdonald, Symmetric functions and Hall polynomials, Oxford University Press (1979).
I.G. Macdonald, Some conjectures for root systems, SIAM J. Math. Analysis, 13 (1982) 988–1007.
J. Sekiguchi, Zonal spherical functions on some symmetric spaces, Publ. RIMS, Kyoto University 12 (1977) 455–459.
A. Selberg, Bemerkninger om et Multipelt Integral, Norsk. Mat. Tidsskrift 26 (1944) 71–78.
R. Stanley, private communication.
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Macdonald, I.G. (1987). Commuting differential operators and zonal spherical functions. In: Cohen, A.M., Hesselink, W.H., van der Kallen, W.L.J., Strooker, J.R. (eds) Algebraic Groups Utrecht 1986. Lecture Notes in Mathematics, vol 1271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079238
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DOI: https://doi.org/10.1007/BFb0079238
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