Factorization of integral transformations of convolution type

DOI10.1007/BF02105396zbMath0582.44005OpenAlexW1993694164MaRDI QIDQ1069092

O. I. Marichev, Hans-Jürgen Glaeske, Yu. A. Brychkov

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02105396

zbMATH Keywords

tablesexistenceconvolutionfactorizationMellin transformationoperator inversion

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20)

Related Items (3)

The decompositional structure of a generalized hypergeometric transformation of convolution type ⋮ The convolution method for the development of new leibniz rules involving fractional derivatives and of their integral analogues ⋮ Application of integral transforms composition method (ITCM) to obtaining transmutations via integral transforms with Bessel functions in kernels

Cites Work

• Die Laguerre-Pinney-Transformation
• The inversion formulae for some hypergeometric transforms
• Application of L-operator in the solution of certain integral equation
• Some theorems on Whittaker transforms
• The G and H Functions as Symmetrical Fourier Kernels
• An Inversion Integral for a Gegenbauer Transformation
• Some Integral Equations Involving Hypergeometric Functions
• A Hypergeometric Function Transform
• Solving Integral Equations by L and L -1 Operators
• Applications of Laplace Transforms and their Inverses
• The 𝐺-functions as unsymmetrical Fourier kernels. III
• An Inversion Integral for a General Legendre Transformation
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