A new class of symmetric polynomials defined in terms of tableaux

Louck, 1975, Structure of the canonical U(3) Racah functions and the U(3):U(2) projective functions, J. Math. Phys., 16, 2408, 10.1063/1.522481 Holman, 1976, On hypergeometric series well-poised in SU(n), SIAM J. Math. Anal., 7, 529, 10.1137/0507043 Biedenharn, 1984, Special functions and group theory in theoretical physics, 129 Biedenharn, 1985, On the denominator function for canonical SU(3) tensor operators, J. Math. Phys., 26, 1458, 10.1063/1.526977 Biedenharn, 1988, On the denominator function for canonical SU(3) tensor operators. II. The explicit polynomial Gqt, J. Math. Phys., 29, 1106, 10.1063/1.527949 Louck, 1977, A generalization of the Gauss hypergeometric series, J. Math. Anal. Appl., 59, 423, 10.1016/0022-247X(77)90070-1 Shukla, 1981, Certain transformations of generalized hypergeometric series, Indian J. Pure Appl. Math., 12, 994 Biedenharn, 1988, Some properties of generalized hypergeometric coefficients, Adv. in Appl. Math., 9, 10.1016/0196-8858(88)90023-1 Baclawski, 1984, A new rule for computing Clebsch-Gordon series, Adv. in Appl. Math., 5, 416, 10.1016/0196-8858(84)90016-2 Louck, 1984, Some properties of the intertwining number of the general linear group, 265 Flath, 1985, Beyond the enveloping algebra of sl3, Canad. J. Math., 37, 710, 10.4153/CJM-1985-038-9 Holman, 1980, Summation theorems for hypergeometric series in U(n), SIAM J. Math. Anal., 11, 523, 10.1137/0511050 Biedenharn, 1980, The invariant polynomials characterizing U(n) tensor operators 〈p, q,…, q,0 … 0〉 having maximal null space, Adv. in Appl. Math., 1, 390, 10.1016/0196-8858(80)90019-6 Milne, 1980, Hypergeometric series well-posed in SU(n) and a generalization of Biedenharn's G-functions, Adv. in Math., 36, 169, 10.1016/0001-8708(80)90015-8 Gustafson, 1983, Schur functions, Good's identity, and hypergeometric series well-poised in SU(n), Adv. in Math., 48, 177, 10.1016/0001-8708(83)90088-9 Milne, 1985, A new symmetry related to SU(n) for classical basic hypergeometric series, Adv. in Math., 57, 71, 10.1016/0001-8708(85)90106-9 Gustafson, 1983, Schur functions and the invariant polynomials characterizing U(n) tensor operators, Adv. in Appl. Math., 4, 422, 10.1016/0196-8858(83)90018-0 Gustafson, 1985, A new symmetry for Biedenharn's G-functions and classical hypergeometric series, Adv. in Math., 57, 209, 10.1016/0001-8708(85)90063-5 Biedenharn, 1984, An umbral calculus for polynomials characterizing U(n) tensor operators, Adv. in Math., 51, 36, 10.1016/0001-8708(84)90003-3 Milne, 1985, A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions, Adv. in Math., 58, 1, 10.1016/0001-8708(85)90048-9 Milne, 1985, A q-analog of the 5F4(1) summation theorem for hypergeometric series well-poised in SU(n), Adv. in Math., 57, 14, 10.1016/0001-8708(85)90104-5 Milne, 1987, Basic hypergeometric series very well-poised in SU(n), J. Math. Anal. Appl., 122, 223, 10.1016/0022-247X(87)90355-6 Gustafson, 1987, A Whipple's transformation for hypergeometric series in U(n) and multivariable hypergeometric orthogonal polynomials, SIAM J. Math Anal., 18, 495, 10.1137/0518040 Gustafson, 1987, Multilateral summation theorems for ordinary and basic hypergeometric series in U(n), SIAM J. Math Anal., 18, 1576, 10.1137/0518114 L. C. Biedenharn, A. A. Bincer, M. A. Lohe, and J. D. Louck, A sequence of identities involving generalizing hypergeometric functions, in preparation. Baird, 1963, On the representations of semisimple Lie groups, II, J. Math. Phys., 4, 1449, 10.1063/1.1703926 Baird, 1964, On the representations of semisimple Lie groups, III, The explicit conjugation operation for SU(n), J. Math. Phys., 5, 1723, 10.1063/1.1704095 Baird, 1965, On the representations of semisimple Lie groups, IV, A canonical classification for tensor operators in SU3, J. Math. Phys., 5, 1730, 10.1063/1.1704096 Biedenharn, 1981, Angular Momentum in Quantum Physics, Vol. 8 Biedenharn, 1981, The Racah-Wigner Algebra in Quantum Theory, Vol. 9 Stanley, 1971, Theory and application of plane partitions, I, Stud. Appl. Math., 50, 167, 10.1002/sapm1971502167 Macdonald, 1979 Bailey, 1935 Beyer, 1987, Group theoretical basis of some identities for hypergeometric series, J. Math. Phys., 28, 497, 10.1063/1.527634