Chandrasekhar polynomials -- A brief review

2013/04/12 by Manabu Machida, Machida, Manabu
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Optics (physics.optics) #Spectral Theory in Mathematical Physics #cond-mat.dis-nn #math-ph #math.MP #physics.optics

paper · pdf · doi:10.48550/arxiv.1304.5207

openalex publication_date 2013/04/12 · arxiv created 2020/05/25 · arxiv updated 2020/05/26 · openalex created_date 2020/05/29 · openalex updated_date 2026/07/28

Abstract

A review on the Chandrasekhar polynomials is given. The polynomials often appear in transport theory. The relation to the method of rotated reference frames for the three-dimensional radiative transport equation is clarified.

Related

• The dual horospherical Radon transform for polynomials
• Numerical evaluation of Chandrasekhar's H-function, its first and second differential coefficients, its pole and moments from the new form for plane parallel scattering atmosphere in radiative transfer
• Rotated reference frames in radiative transport theory
• Application of the theory of Linear Singular Integral Equations and Contour Integration to Riemann Hilbert Problems for determination of new decoupled expressions of Chandrasekhar's X- and Y- functions for slab geometry in Radiative Transfer
• Three-dimensional transport theory via one-dimensional transport theory