Fractional calculus, Gegenbauer transformations, and integral equations

DOI10.1006/jmaa.1995.1290zbMath0834.44006OpenAlexW2139602471MaRDI QIDQ1900413

C. A. M. van Berkel, S. J. L. van Eijndhoven

Publication date: 30 November 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0edd575da043c869e611fa1577eba3c9c9632b29

zbMATH Keywords

integral equationsRodrigues formulaGegenbauer polynomialsfactorizationfractional integralsRiemann-Liouville fractional calculusErdélyi-Kober operatorsoperator identitiesWeyl fractional calculusGegenbauer integral operatorsGegenbauer transformations

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral equations with miscellaneous special kernels (45H05)

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Radon transforms and Gegenbauer-Chebyshev integrals. I ⋮ The λ-cosine transforms with odd kernel and the hemispherical transform

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