On the generalized Lebedev index transform

DOI10.1016/J.JMAA.2015.04.017zbMath1315.44004arXiv1409.6201OpenAlexW2138443493MaRDI QIDQ2345477

Semyon B. Yakubovich

Publication date: 22 May 2015

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

Full work available at URL: https://arxiv.org/abs/1409.6201

zbMATH Keywords

Fourier transformLaplace transformMellin transformboundednessinitial value problemcompactnessinvertibilityKontorovich-Lebedev transformMacdonald functionindex transformLebedev transformsecond-order differential difference equation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (1)

Lebedev type index transforms with the squares of the associated {L}egendre functions

Cites Work

• Some simple differential difference equations and the related functions
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