2006/01/16 by B. Rutily, Rutily, B., J. Bergeat +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #Numerical methods in inverse problems #Radiative Heat Transfer Studies #advanced mathematical theories #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/0601349
19 pages, Transport Theory and Statistical Processes, submitted January 2003
arxiv created 2006/01/16 · openalex publication_date 2006/01/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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.