On Linear Integral Equations for a Certain Class of H-Functions Applicable to the Theory of Neutron Transport and Radiative Transfer

摘要

A matrix version of the classical Riemann-Hilbert problem defined on an open contour is discussed. The problem is reduced to a quasi-regular integral equation for cases where the sufficient Holder continuity condition is satisfied and the component indices are non-negative. As an illustration of this procedure, linear integral equations, rather than the usual non-linear forms, for Chandrasekhar's functions H sub l(u) and H sub r(u) are established in a form amenable to solution by numerical iteration. (Author)