On polyconvolutions generated by the Hankel transform

DOI10.1023/B:MATN.0000036738.90655.D5zbMath1060.44004OpenAlexW1986745031MaRDI QIDQ1889685

Lyubov E. Britvina

Publication date: 7 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000036738.90655.d5

zbMATH Keywords

integro-differential equationssystemsHankel transformdifferential operatorfactorizationgeneralized convolutionpolyconvolutionBessel function of the first order

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integro-ordinary differential equations (45J05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General theory of ordinary differential operators (47E05) Integral transforms of special functions (44A20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (7)

Generalized Shift Operators Generated by Convolutions of Integral Transforms ⋮ Pseudoshift and the fundamental solution of the Kipriyanov \(\Delta_B\)-operator ⋮ Fundamental solution of a singular Bessel differential operator with a negative parameter ⋮ Generalized convolution with two parameters for the Hankel transform and related integral operators ⋮ Boundary value problems for the Euler-Poisson-Darboux equation ⋮ Hankel Generalized Convolutions with the Associated Legendre Functions in the Kernel and Their Applications ⋮ Integral operators related to generalized convolutions for Hankel transform

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