Radiative transfer in plane-parallel media and Cauchy integral equations II. The H-function

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dc.creatorRutily, B.
dc.creatorBergeat, J.
dc.creatorChevallier, L.
dc.date2006-01-16
dc.date.accessioned2026-07-07T06:56:59Z
dc.date.available2026-07-07T06:56:59Z
dc.descriptionIn the central part of this paper, we revisit the classical study of the H-function defined as the unique solution, regular in the right complex half-plane, of a Cauchy integral equation. We take advantage of our work on the N-function published in the first article of this series. The H-function is then used to solve a class of Cauchy integral equations occurring in transfer problems posed in plane-parallel media. We obtain a concise expression of the unique solution analytic in the right complex half-plane, then modified with the help of the residue theorem for numerical calculations.
dc.description19 pages, Transport Theory and Statistical Processes, submitted January 2003
dc.identifierhttps://arxiv.org/abs/astro-ph/0601349
dc.identifierhttp://arxiv.org/abs/astro-ph/0601349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106806
dc.subjectAstrophysics
dc.titleRadiative transfer in plane-parallel media and Cauchy integral equations II. The H-function
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