Decomposition of product of certain functions relevant to the solution of transfer equations by Wiener-Hopf technique

Details Decomposition of product of certain functions relevant to the solution of transfer equations by Wiener-Hopf technique Decomposition of product of certain functions relevant to the solution of transfer equations by Wiener-Hopf technique

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.138..403d&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 138, no. 2, Nov. 1987, p. 403-418.

Mathematics

4

Functions (Mathematics), Integral Equations, Radiative Transfer, Transfer Functions, Wiener Hopf Equations

Scientific paper

Decomposition of the product of functions like exp ( - r0/z)S ± (z) [S ± (z) = j~ P(x) dx/(x - obtained by Das Gupta (1978) and relevant to the solution of equations of radiative transfer or of transfer problems in finite media by Wiener-Hopf technique, is reviewed and transformed to quite simple integral forms amenable to easy numerical evaluations. The same forms are then shown to be directly obtainable in one step under a slightly stronger condition consistent with practical cases

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