Exact solution of the equation of transfer in a finite exponential atmosphere by the method of laplace transform and linear singular operators

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The equation which commonly appears in radiative transfer problem in a finite atmosphere having ground reflection according to Lambert's law is considered in this paper. The Planck's functionBν(T) is taken in the form, $$B_v (T) = b_0 + b_1 e^{ - \beta \tau } .$$