Fractional integration operator on some radial rays and intertwining for the Dunkl operator

DOI10.1515/fca-2016-0038zbMath1342.33019OpenAlexW2460889604MaRDI QIDQ2628815

Fethi Bouzeffour

Publication date: 18 July 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2016-0038

zbMATH Keywords

intertwining operatorfractional calculusdifferential-difference operatortransmutation methodhyper-Bessel operators and functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Special functions associated with complex reflection groups
• Singular differential operators with r-1 parameters and Bessel functions of vector index
• Transmutations d'opérateurs différentiels dans le domaine complexe
• Positivity of Dunkl's intertwining operator
• Differential equations satisfied by the components with respect to the cyclic group of order \(n\) of some special functions
• From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
• Generalized hyperbolic functions, circulant matrices and functional equations
• Opérateurs de transmutation singuliers et équations d’Euler Poisson Darboux généralisées
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
• DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
• Intertwining Operators Associated to the Group S 3

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