The Selberg–Jack Symmetric Functions
Tài liệu tham khảo
Andrews, 1986, q, 10.1090/cbms/066
Aomoto, 1987, Jacobi polynomials associated with Selberg's integral, SIAM J. Math. Anal., 18, 545, 10.1137/0518042
Askey, 1980, Some basic hypergeometric extensions of integrals of Selberg and Andrews, SIAM J. Math. Anal., 11, 938, 10.1137/0511084
Bailey, 1935
Frame, 1954, The hook graphs ofSn, Canad. J. Math., 6, 316, 10.4153/CJM-1954-030-1
Gordon, 1968, Notes on plane partitions, I, J. Combin. Theory, 4, 72, 10.1016/S0021-9800(68)80088-2
I. P. Goulden, 1986
Habsieger, 1988, Uneq, SIAM J. Math. Anal., 19, 1475, 10.1137/0519111
Hanlon, 1988, Jack symmetric functions and some combinatorial properties of Young symmetrizers, J. Combin. Theory Ser. A, 47, 37, 10.1016/0097-3165(88)90042-8
Jack, 1969, A class of symmetric polynomials with a parameter, Proc. Roy. Soc. Edinburgh Sect. A, 69, 1
James, 1968, Calculation of zonal polynomial coefficients by use of the Laplace–Beltrami operator, Ann. Math. Stat., 39, 1711, 10.1214/aoms/1177698153
Kadell, 1988, A proof of someqk, SIAM J. Math. Anal., 19, 944, 10.1137/0519066
Kadell, 1988, A proof of Askey's conjecturedq, SIAM J. Math. Anal., 19, 969, 10.1137/0519067
Kadell, 1988, Theqn, Trans. Amer. Math. Soc., 310, 535
Kadell, 1994, A proof of theqBCn, Mem. Amer. Math. Soc., 108, 516
Kadell, 1993, An integral for the product of two Selberg–Jack symmetric functions, Compositio Math., 87, 5
Kadell, 1994, A simple proof of an Aomoto type extension of theq, Contemp. Math., 166, 167, 10.1090/conm/166/01637
Kaneko, 1993, Selberg integrals and hypergeometric functions associated with Jack polynomials, SIAM J. Math. Anal., 24, 1086, 10.1137/0524064
Knuth, 1970, Permutations, matrices and generalized Young tableaux, Pacific J. Math., 34, 709, 10.2140/pjm.1970.34.709
Knuth, 1968
Kushner, 1988, The linearization of the product of two zonal polynomials, SIAM J. Math. Anal., 19, 687, 10.1137/0519049
Macdonald, 1979
Macdonald, 1982, Some conjectures for root system, SIAM J. Math. Anal., 13, 988, 10.1137/0513070
I. G. Macdonald, 1987–1988
I. G. Macdonald, Orthogonal polynomials associated with root systems
Macdonald, 1995
W. G. Morris, II, January 1982, Constant Term Identities for Finite and Affine Root Systems: Conjectures and Theorems, University of Wisconsin-Madison
D. St. P. Richards, Analogs and extensions of Selberg's integral, Proceedings, IMA Workshop onq
Schützenberger, 1976, La correspondance de Robinson, 579
Selberg, 1944, Bemerkninger om et multipelt integral, Norske Mat. Tidsskr., 26, 71
Stanley, 1971, Theory and application of plane partitions I, Stud. Appl. Math., 50, 167, 10.1002/sapm1971502167
Stanley, 1989, Some combinatorial properties of Jack symmetric functions, Adv. Math., 77, 76, 10.1016/0001-8708(89)90015-7
Stembridge, 1988, A short proof of Macdonald's conjecture for the root systems of typeA, Proc. Amer. Math. Soc., 102, 776
G. P. Thomas, September 1974, Baxter Algebras and Schur Functions, University College of Swansea
Zeilberger, 1989, A Stembridge–Stanton style elementary proof of the Habsieger–Kadellq, Discrete Math., 79, 313, 10.1016/0012-365X(90)90338-I