New index transforms of the Lebedev–Skalskaya type

DOI10.1080/10652469.2015.1098637zbMath1337.44003arXiv1509.02764OpenAlexW2102662509MaRDI QIDQ2790239

Semyon B. Yakubovich

Publication date: 3 March 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02764

zbMATH Keywords

Fourier transformMellin transformboundednessmodified Bessel functionsinitial value probleminvertibilityKontorovich-Lebedev transformindex transformsLebedev-Skalskaya transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) General integral transforms (44A05)

Related Items (3)

Discrete index transforms with Bessel and modified Bessel functions ⋮ Lebedev type index transforms with the squares of the associated {L}egendre functions ⋮ Index transforms with the squares of Bessel functions

Cites Work

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