Infinite integrals of Whittaker and Bessel functions with respect to their indices

DOI10.1063/1.3265924zbMath1373.33008OpenAlexW2049745957MaRDI QIDQ3583761

Peter A. Becker

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/95f9739565b607b82b7abdf1f6498324cfa2e35d

zbMATH Keywords

integral equationsmodified Bessel functionspolynomialsKontorovich-Lebedev transformWhittaker functionsapplication to time-dependent radiation transport theory

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Radiative transfer in astronomy and astrophysics (85A25) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Certain integral transforms involving Appell and Bessel functions and their applications ⋮ Unnamed Item ⋮ Time-dependent probability density function for general stochastic logistic population model with harvesting effort ⋮ Infinite integrals involving Bessel functions by contour integration

Cites Work

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• The Titchmarsh integral transformation by the index of a Bessel function
• Nonrelativistic Coulomb Green’s function in parabolic coordinates
• On the integration of products of Whittaker functions with respect to the second index
• Spectral Expansions for Asian (Average Price) Options

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