An integral for the product of two Selberg-Jack symmetric polynomials
Compositio Mathematica, Tome 87 (1993) no. 1, pp. 5-43.
@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/}
}
TY  - JOUR
AU  - Kadell, Kevin W. J.
TI  - An integral for the product of two Selberg-Jack symmetric polynomials
JO  - Compositio Mathematica
PY  - 1993
SP  - 5
EP  - 43
VL  - 87
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1993__87_1_5_0/
LA  - en
ID  - CM_1993__87_1_5_0
ER  - 
%0 Journal Article
%A Kadell, Kevin W. J.
%T An integral for the product of two Selberg-Jack symmetric polynomials
%J Compositio Mathematica
%D 1993
%P 5-43
%V 87
%N 1
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1993__87_1_5_0/
%G en
%F 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] G.E. Andrews: 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] K. Aomoto: Jacobi polynomials associated with Selberg's integral, SIAM J. Math. Analysis 18 (1987), 545-549. | MR | Zbl

[Hab1] L. Habsieger: Une q-intégrale de Selberg-Askey, SIAM J. Math. Analysis 19 (1988), 1475-1489. | MR | Zbl

[Han1] P. Hanlon: Jack symmetric functions and some combinatorial properties of Young symmetrizers, J. Combinatorial Theory (A) 47 (1988), 37-80. | MR | Zbl

[Hu1] L.K. Hua: 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] H. Jack: A class of symmetric polynomials with a parameter, Proc. Royal Soc. Edinburgh (A)69 (1969-70), 1-17. | MR | Zbl

[Ka1] K.W.J. Kadell: A proof of some q-analogues of Selberg's integral for k = 1, SIAM J. Math. Analysis 19 (1988), 944-968. | MR | Zbl

[Ka2] K.W.J. Kadell: 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] K.W.J. Kadell: The q-Selberg polynomials for n = 2, Trans. Amer. Math. Soc. 310 (1988), 535-553. | MR | Zbl

[Ka4] K.W.J. Kadell: The Selberg-Jack symmetric functions, Advances in Math., to appear. | MR | Zbl

[Ma1] I.G. Macdonald: Symmetric Functions and Hall Polynomials, Oxford University Press, Oxford, 1979. | MR | Zbl

[Ma2] I.G. Macdonald: Second edition of [Ma1], to appear. | MR

[Ma3] I.G. Macdonald: Orthogonal polynomials associated with root systems, to appear. | MR | Zbl

[Ri1] D. St. P. Richards: Analogs and Extensions of Selberg's integral, Proceedings of the IMA workshop on q-series and partitions, March 1988. | Zbl

[Se1] A. Selberg: Bemerkninger om et multipelt integral, Norsk. Mat. Tidsskr. 26 (1944), 71-78. | MR | Zbl

[St1] R.P. Stanley: Some combinatorial properties of Jack symmetric functions, Advances in Math. 77 (1989), 76-115. | MR | Zbl

[Sz1] G. Szegö: Orthogonal Polynomials, Colloquium Publications, Vol. 23, American Mathematical Society, Providence, RI, 1975. | MR | Zbl

[Ze1] D. Zeilberger: A proof of the G2 case of Macdonald's root system-Dyson conjecture, SIAM J. Math. Analysis 18 (1987), 880-883. | MR | Zbl