Generalized Sonine-type integral transforms on the real line

DOI10.1080/10652460903557235zbMath1205.44001OpenAlexW1971508111MaRDI QIDQ3053699

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Publication date: 29 October 2010

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

Full work available at URL: https://doi.org/10.1080/10652460903557235

zbMATH Keywords

Jacobi polynomialsGauss hypergeometric functiongeneralized Sonine integral transformgeneralized Sonine-Dunkl integral transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) General integral transforms (44A05)

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Cites Work

• Sonine-type integral transforms related to the Dunkl operator on the real line
• Integral Kernels with Reflection Group Invariance
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual

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