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

doi:10.1016/0022-4073(83)90084-5

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

Analytical properties, series expansions and asymptotic expansions are generated for S_n(x) which are important integral functions in the analysis of two-dimensional radiative transfer. These functions are shown to be Fourier transform of the generalized exponential integral function. Table of values of S₁(x), S₂(x), and S₃(x) are presented.

Publication:

Journal of Quantitative Spectroscopy and Radiative Transfer

Pub Date:

February 1983

DOI:

10.1016/0022-4073(83)90084-5

Bibcode:

1983JQSRT..29..145Y

Keywords:

Asymptotic Methods;
Exponential Functions;
Fourier Transformation;
Integral Transformations;
Radiative Transfer;
Asymptotic Series;
Bessel Functions;
Functional Integration;
Maclaurin Series;
Numerical Integration;
Thermodynamics and Statistical Physics;
Radiative Transfer

NASA/ADS

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

Abstract