Nonlocal operational calculi for Dunkl operators

DOI10.3842/SIGMA.2009.030zbMath1163.44003arXiv0903.1609MaRDI QIDQ1016698

Ivan H. Dimovski, Valentin Z. Hristov

Publication date: 21 May 2009

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1609

zbMATH Keywords

convolutionmultiplierDunkl operatorHeaviside algorithmDunkl equationDunkl-Appell polynomialsmean-periodic functionmultiplier fractionnonlocal Cauchy boundary value problemsright inverse operator

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Calculus of Mikusi?ski and other operational calculi (44A40) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear functional-differential equations (34K06)

Related Items (6)

Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions ⋮ Some Appell-Dunkl sequences ⋮ Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations ⋮ Stirling-Dunkl numbers ⋮ Shifts and periodicity in algebraic analysis ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions

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