Some combinatorial conjectures for shifted Jack polynomials

DOI10.1007/BF01608485zbMath0933.33014WikidataQ123135571 ScholiaQ123135571MaRDI QIDQ1305198

Michel Lassalle

Publication date: 30 September 1999

Published in: Annals of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Stirling numbersJack polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

Jack polynomials and some identities for partitions ⋮ An identity in the theory of partitions ⋮ Some combinatorial conjectures regarding the classical Chu- Vandermonde formula ⋮ Some combinatorial conjectures for Jack polynomials ⋮ Quelques valeurs prises par les polynômes de Macdonald décalés. (Some special values for shifted Macdonald polynomials)

Cites Work

• Generalized binomial coefficients and Macdonald polynomials
• Some combinatorial conjectures regarding the classical Chu- Vandermonde formula
• Some combinatorial conjectures for Jack polynomials
• Shifted Jack polynomials, binomial formula, and applications
• Some combinatorial properties of Jack symmetric functions
• An identity involving partitional generalized binomial coefficients
• Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
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