The binomial formula for nonsymmetric Macdonald polynomials

DOI10.1215/S0012-7094-98-09419-4zbMath0947.33012arXivq-alg/9703024MaRDI QIDQ1974851

Siddhartha Sahi

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9703024

zbMATH Keywords

Macdonald polynomials

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (7)

The Dunkl-Laplace transform and Macdonald’s hypergeometric series ⋮ The product of a nonsymmetric Jack polynomial with a linear function ⋮ Hankel transform, \(\mathcal{K}\)-Bessel functions and zeta distributions in the Dunkl setting ⋮ Further Pieri-type formulas for the nonsymmetric Macdonald polynomial ⋮ Deformed Kazhdan-Lusztig elements and Macdonald polynomials ⋮ Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series ⋮ A nonsymmetric version of Okounkov's BC-type interpolation Macdonald polynomials

Cites Work

• Shifted Jack polynomials, binomial formula, and applications
• Symmetric and non-symmetric quantum Capelli polynomials
• Binomial formula for Macdonald polynomials and applications
• An identity involving partitional generalized binomial coefficients
• Harmonic analysis for certain representations of graded Hecke algebras
• Nonsymmetric Jack polynomials and integral kernels
• Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
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