scientific article; zbMATH DE number 775288

zbMath0818.22008MaRDI QIDQ4839746

A. U. Klimyk, N. Ya. Vilenkin

Publication date: 17 July 1995

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zbMATH Keywords

generating functionsLie groupsrepresentationsLaguerre polynomialsspecial functionsBessel functionsmatrix elementsClebsch-Gordan coefficientsFourier transformationMellin transformationLaplace operators

Mathematics Subject Classification ID

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 Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Twisted Flato-Fronsdal theorem for higher-spin algebras ⋮ Hypergeometric type functions and their symmetries ⋮ On the evaluation of some Selberg-like integrals ⋮ Spherical means on two-point homogeneous spaces and applications ⋮ Raising operators for the Whittaker wave functions of the Toda chain and intertwining operators ⋮ Jacobi Polynomials as su(2, 2) Unitary Irreducible Representation ⋮ Decomposition of non-local light-cone operators into harmonic operators of definite twist ⋮ Fourier coefficients of invariant random fields on homogeneous spaces of compact Lie groups

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