@article{CM_1993__87_1_5_0, author = {Kadell, Kevin W. J.}, title = {An integral for the product of two {Selberg-Jack} symmetric polynomials}, journal = {Compositio Mathematica}, pages = {5--43}, publisher = {Kluwer Academic Publishers}, volume = {87}, number = {1}, year = {1993}, mrnumber = {1219451}, zbl = {0788.33007}, language = {en}, url = {http://www.numdam.org/item/CM_1993__87_1_5_0/} }
Kadell, Kevin W. J. An integral for the product of two Selberg-Jack symmetric polynomials. Compositio Mathematica, Tome 87 (1993) no. 1, pp. 5-43. http://www.numdam.org/item/CM_1993__87_1_5_0/
[An2] q-Series: Their Development and Applications in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra, CBMS Regional Conference Series in Mathematics, number 66, American Mathematical Society, Providence, RI, 1986. | MR | Zbl
:[Ao1] Jacobi polynomials associated with Selberg's integral, SIAM J. Math. Analysis 18 (1987), 545-549. | MR | Zbl
:[Hab1] Une q-intégrale de Selberg-Askey, SIAM J. Math. Analysis 19 (1988), 1475-1489. | MR | Zbl
:[Han1] Jack symmetric functions and some combinatorial properties of Young symmetrizers, J. Combinatorial Theory (A) 47 (1988), 37-80. | MR | Zbl
:[Hu1] Harmonic analysis of functions of several complex variables in the complex domains. Translations of mathematical monographs, Vol. 6, Amer. Math. Soc., Providence, RI, 1963. | Zbl
:[Ja1] A class of symmetric polynomials with a parameter, Proc. Royal Soc. Edinburgh (A)69 (1969-70), 1-17. | MR | Zbl
:[Ka1] A proof of some q-analogues of Selberg's integral for k = 1, SIAM J. Math. Analysis 19 (1988), 944-968. | MR | Zbl
:[Ka2] A proof of Askey's conjectured q-analogue of Selberg's integral and a conjecture of Morris, SIAM J. Math. Analysis 19 (1988), 969-986. | MR | Zbl
:[Ka3] The q-Selberg polynomials for n = 2, Trans. Amer. Math. Soc. 310 (1988), 535-553. | MR | Zbl
:[Ka4] The Selberg-Jack symmetric functions, Advances in Math., to appear. | MR | Zbl
:[Ma1] Symmetric Functions and Hall Polynomials, Oxford University Press, Oxford, 1979. | MR | Zbl
:[Ma2] MR
: Second edition of [Ma1], to appear. |[Ma3] Orthogonal polynomials associated with root systems, to appear. | MR | Zbl
:[Ri1] Analogs and Extensions of Selberg's integral, Proceedings of the IMA workshop on q-series and partitions, March 1988. | Zbl
:[Se1] Bemerkninger om et multipelt integral, Norsk. Mat. Tidsskr. 26 (1944), 71-78. | MR | Zbl
:[St1] Some combinatorial properties of Jack symmetric functions, Advances in Math. 77 (1989), 76-115. | MR | Zbl
:[Sz1] Orthogonal Polynomials, Colloquium Publications, Vol. 23, American Mathematical Society, Providence, RI, 1975. | MR | Zbl
:[Ze1] A proof of the G2 case of Macdonald's root system-Dyson conjecture, SIAM J. Math. Analysis 18 (1987), 880-883. | MR | Zbl
: