New Pieri type formulas for Jack polynomials and their applications to interpolation Jack polynomials

DOI10.3842/SIGMA.2020.118zbMath1455.05078arXiv2004.12875MaRDI QIDQ2217976

Genki Shibukawa

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12875

zbMATH Keywords

kernel functionPieri formulaJack polynomialinterpolation Jack polynomial

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)

Cites Work

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• \(BC_n\)-symmetric abelian functions
• Okounkov's BC-type interpolation Macdonald polynomials and their \(q=1\) limit
• \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
• Zonal spherical functions on some symmetric spaces
• Generalized binomial coefficients and Macdonald polynomials
• Shifted Jack polynomials, binomial formula, and applications
• Binomial formula for Macdonald polynomials and applications
• Schur functions: Theme and variations
• Some combinatorial properties of Jack symmetric functions

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