Product formula for Jacobi polynomials, spherical harmonics and generalized Bessel function of dihedral type

DOI10.1080/10652460903053391zbMath1182.33012arXiv0905.2265OpenAlexW2963296617MaRDI QIDQ5851712

Nizar Demni

Publication date: 25 January 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2265

zbMATH Keywords

generalized Bessel functionGegenbauer polynomialsmodified Bessel functionDunkl's intertwining operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Asymptotic windings of the block determinants of a unitary Brownian motion and related diffusions

Cites Work

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• Skew-product representations of multidimensional Dunkl Markov processes
• BESSIS–MOUSSA–VILLANI CONJECTURE AND GENERALIZED GAUSSIAN RANDOM VARIABLES
• Intertwining Operator and h-Harmonics Associated With Reflection Groups
• Intertwining Operators Associated to the Group S 3
• AN INTERTWINING OPERATOR FOR THE GROUP B₂

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