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

Authors:	Santanu Das Gupta S R Das Gupta

Institution:	(1) 4/2, Centre Sinthee Road, Calcutta, West Bengal, India;(2) Department of Mathematics, University of North Bengal, West Bengal, India

Abstract:	Decomposition of the product of functions like exp (– ⁰/z)S ⁺(z) S ⁺(z = ₀ ¹ P(x) dx/(x–z)], 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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