Special functions related to various types of root systems

DOI10.1007/s10958-009-9391-5zbMath1180.33016OpenAlexW1964306869MaRDI QIDQ843585

V. V. Meshcheryakov

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9391-5

zbMATH Keywords

spherical functionsroot system of type \(G _{2}\)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Orthogonal polynomials and functions associated with root systems (33C52)

Cites Work

• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• Orthogonal Polynomials on the Sphere with Octahedral Symmetry
• Orthogonal Polynomials with Symmetry of Order Three