Numerical computation of an important integral function in two-dimensional radiative transfer

Physics

Scientific paper

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Asymptotic Methods, Exponential Functions, Fourier Transformation, Integral Transformations, Radiative Transfer, Asymptotic Series, Bessel Functions, Functional Integration, Maclaurin Series, Numerical Integration

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Scientific paper

Abstract

Analytical properties, series expansions, and asymptotic expansions are generated for S(n) of x which are important integral functions in the analysis of two-dimensional radiative transfer. These functions are shown to be Fourier transforms, of the generalized exponential integral function. A table of values of S(1) of x, S(2) of x, and S(3) of x is presented.

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