Exact solution of a key equation in a finite stellar atmosphere by the method of Laplace transform and linear singular operators

Mathematics

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Lambert Surface, Laplace Transformation, Linear Equations, Radiative Transfer, Singular Integral Equations, Stellar Atmospheres, Bouguer Law, Chandrasekhar Equation, Operators (Mathematics), Reflection

Scientific paper

The key equation which commonly appears for radiative transfer in a finite stellar atmosphere having ground reflection according to Lambert's law is considered in this paper. The exact solution of this equation is obtained for surface quantities in terms of the X-Y equations of Chandrasekhar by the method of Laplace transform and linear singular operators. This exact method is widely applicable for obtaining the solution for surface quantities in a finite atmosphere.

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