A formula for polynomials with Hermitian matrix argument

DOI10.1016/j.bulsci.2005.01.002zbMath1076.33009OpenAlexW2053408778MaRDI QIDQ2386017

Cristina Balderrama, Wilfredo O. Urbina R., Piotr Graczyk

Publication date: 22 August 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2005.01.002

zbMATH Keywords

Schur polynomialsgeneralized orthogonal polynomialsBerezin-Karpelevich type formula

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) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (2)

The Hermitian Jacobi process: a simplified formula for the moments and application to optical fiber MIMO channels ⋮ Semigroups associated to generalized polynomials and some classical formulas

Cites Work

• Holomorphic functions of moderate growth and distribution vectors
• Bessel functions of matrix argument
• Density questions in the classical theory of moments
• Spherical functions and invariant differential operators on complex Grassmann manifolds
• Constant term identities and hypergeometric functions on spaces of Hermitian matrices
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Hypergeometric functions on complex matrix space
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