The product of a nonsymmetric Jack polynomial with a linear function

DOI10.1090/S0002-9939-02-06716-3zbMath1075.33006OpenAlexW1886052558MaRDI QIDQ4794582

Dan Marshall

Publication date: 19 February 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06716-3

zbMATH Keywords

Jack polynomialsPieri formulageneralized binomial coefficient

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

Further Pieri-type formulas for the nonsymmetric Macdonald polynomial

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetric Jack polynomials from non-symmetric theory
• Plethystic formulas for Macdonald \(q,t\)-Kostka coefficients
• A recursion and a combinatorial formula for Jack polynomials
• Symmetric and non-symmetric quantum Capelli polynomials
• Some combinatorial properties of Jack symmetric functions
• Harmonic analysis for certain representations of graded Hecke algebras
• The binomial formula for nonsymmetric Macdonald polynomials
• Nonsymmetric Jack polynomials and integral kernels
• Log-gases, random matrices and the Fisher-Hartwig conjecture

This page was built for publication: The product of a nonsymmetric Jack polynomial with a linear function