A new representation of the H-functions of radiative transfer

Details A new representation of the H-functions of radiative transfer A new representation of the H-functions of radiative transfer

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..50..187d&link_type=abstract

Astrophysics and Space Science, vol. 50, no. 1, Aug. 1977, p. 187-203.

Astronomy and Astrophysics

Astrophysics

28

Astrophysics, Chandrasekhar Equation, Radiative Transfer, Fredholm Equations, Polynomials

Scientific paper

A new representation of Chandrasekhar's H-functions H(z) corresponding to a certain dispersion function T(z) is obtained. Starting from this form H(z) can be expressed in terms of a Fredholm-type integral equation. This new form of H(z) has proved to be very useful in solving coupled integral equations involving X-, Y-functions of transport problems. The integrand part for the first-mentioned representation of H(z) can be replaced by approximating polynomials whose coefficients can be determined as functions of the moments of known functions; a closed form approximation of H(z) to a sufficiently high degree of accuracy is then readily available by term integrations.

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