The affine group and generalized Gegenbauer polynomials

DOI10.1016/S0898-1221(01)00089-XzbMath0992.22006MaRDI QIDQ5948779

Philip Feinsilver, Uwe Franz

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

operatorsBrownian motioneigenfunction expansiongeneralized Gegenbauer polynomialsaffine groupAppel systems

Mathematics Subject Classification ID

Umbral calculus (05A40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Harmonic analysis and spherical functions (43A90)

Cites Work

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• Appell systems on Lie groups
• Duality and multiplicative stochastic processes on quantum groups
• Operator expansion in the derivative and multiplication byx

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