Maximum-entropy for Chandrasekhar's \(X\)- and \(Y\)-functions (Q1331307)

The well-known functions \(X(\mu,z)\) and \(Y(\mu,z)\) defined by \textit{S. Chandrasekhar} [Radiative transfer (1950)], where \(\mu\) is the direction cosine of the angle between the radial coordinate and the direction of the propagating radiation with \(z\) being the medium thickness, are of great importance in the study of radiative transfer in finite plane parallel atmospheres. The maximum-entropy approach is used here to compute \(X\) and \(Y\) and their moments. Numerical results are tabulated and compared with those of previous workers in the field.