Orthogonal polynomials arising from the wreath products of a dihedral group with a symmetric group.

DOI10.1016/j.jcta.2003.09.001zbMath1064.33009OpenAlexW2043344179MaRDI QIDQ1421342

Hiroki Akazawa, Hiroshi Mizukawa

Publication date: 26 January 2004

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2003.09.001

zbMATH Keywords

Discrete orthogonal polynomials\((n+1,m+1)\)-hypergeometric functionsGelfand pair of finite groupsZonal spherical functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Trees, wreath products and finite Gelfand pairs, (𝑛+1,𝑚+1)-hypergeometric functions associated to character algebras, Spherical functions for Gelfand pairs of complex reflection groups, Zonal polynomials for wreath products, Generalized characters of the symmetric group., Twisted Gelfand pairs of complex reflection groups and \(r\)-congruence properties of Schur functions, A family of finite Gelfand pairs associated with wreath products, Commutative association schemes

Cites Work

• Zonal spherical functions on the complex reflection groups and (\(n+1,m+1\))-hypergeometric functions
• Hypergeometric Functions, My Love
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