Chandrasekhar's X-Functions and Y-Functions

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The X- and Y-functions of Chandrasekhar are defined in terms of two coupled integral equations whose solution for certain values of optical depth and albedo have already been found by means of iterative methods. This paper describes a method which attempts to overcome the difficulty which has arisen in previous iterative methods in obtaining accurate solutions X(μ), Y(μ) for values of μ close to unity. Reasonable accuracy is achieved for certain cases at the expense of little computing time.

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