Special functions and generating functions associated with reflection groups.

DOI10.1016/S0377-0427(02)00639-8zbMath1041.33011OpenAlexW1989605114MaRDI QIDQ1874155

Charles F. Dunkl

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00639-8

zbMATH Keywords

orthogonal polynomialsicosahedral symmetryreflection groupsicosahedrondifferential-difference operatorDunkl operatorsmultivariable special functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Many-body theory; quantum Hall effect (81V70) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions ⋮ Singular polynomials from orbit spaces

Cites Work

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• Intertwining operators and polynomials associated with the symmetric group
• Positivity of Dunkl's intertwining operator
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Planar harmonic polynomials of typeB

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