Discrete Mehler–Fock transforms

DOI10.1080/10652469.2020.1725001zbMath1486.44006arXiv1910.08394OpenAlexW3006161259MaRDI QIDQ5120997

Semyon B. Yakubovich

Publication date: 16 September 2020

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

Full work available at URL: https://arxiv.org/abs/1910.08394

zbMATH Keywords

Gauss hypergeometric functionFourier seriesKontorovich-Lebedev transformMehler-Fock transformassociated Legendre function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Discrete version of topics in analysis (39A12) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Cites Work

• Multidimensional Kontorovich–Lebedev transforms
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