Radon Transform on spheres and generalized Bessel function associated with dihedral groups

zbMath1253.33016arXiv1009.5797MaRDI QIDQ3225756

Nizar Demni

Publication date: 22 March 2012

Full work available at URL: https://arxiv.org/abs/1009.5797

zbMATH Keywords

Gegenbauer polynomialsdihedral Groupsgeneralized Bessel Functions

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation ⋮ On a Neumann-type series for modified Bessel functions of the first kind ⋮ The Dunkl kernel and intertwining operator for dihedral groups ⋮ Dunkl kernel associated with dihedral groups ⋮ Explicit formulas for the Dunkl dihedral kernel and the \((\kappa,a)\)-generalized Fourier kernel ⋮ An estimate for the Dunkl kernels of type \(B_2 \)

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