Convolution integral equations with Gegenbauer function kernel

DOI10.1016/0377-0427(94)90328-XzbMath0806.45003MaRDI QIDQ1334799

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

Publication date: 22 September 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

explicit solutionssolvabilityRodrigues formulafractional operatorsGegenbauer functionsMellvin convolution equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

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• Gegenbauer Transforms via the Radon Transform
• A New Class of Integral Transforms
• A unified radon inversion formula
• An Inversion Integral for a Gegenbauer Transformation
• Uniform asymptotic expansions at a caustic
• A procedure for deriving inversion formulae for integral transform pairs of a general kind
• An Integral Equation Involving Legendre Functions
• An Inversion Integral
• An Inversion Integral for a General Legendre Transformation
• An Inversion Integral for a Legendre Transformation

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