Discrete Kontorovich-Lebedev transforms

DOI10.1007/s11139-020-00313-7zbMath1476.44005arXiv1908.01392OpenAlexW3085869107MaRDI QIDQ2038994

Semyon B. Yakubovich

Publication date: 7 July 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01392

zbMATH Keywords

Dirichlet problemFourier seriesKontorovich-Lebedev transformmodified Bessel functionMacdonald functionincomplete Bessel function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Discrete version of topics in analysis (39A12) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

Discrete Fourier-Jacobi transform ⋮ Discrete Lebedev's index transforms ⋮ Discrete Lebedev–Skalskaya transforms ⋮ Discrete index transformations with squares of Bessel functions

Cites Work

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• INCOMPLETE BESSEL FUNCTIONS. I

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