Exact solution of the equation for the problem of diffuse reflection and transmission with a scattering function \(\omega_0(1+x\cos \Theta)\) by the method of Laplace transform and theory of linear singular integral equation

DOI10.1007/BF00644527zbMath0396.45007MaRDI QIDQ1253405

Rabindra Nath Das

Publication date: 1978

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

Singular Integral EquationsDiffuse ReflectionIntegro-Ordinary Differential EquationsPrinciple of InvarianceTechnique of Laplace TransformTransmission of Light Scattering

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Laplace transform (44A10) Integral equations with kernels of Cauchy type (45E05)

Related Items (2)

Solution of Riemann-Hilbert problems for determination of new decoupled expressions of Chandrasekhar's \(X\)- and \(Y\)-functions for slab geometry in radiative transfer ⋮ Exact solution of the problem of diffuse reflection and transmission in Rayleigh scattering by use of the Laplace transform and the theory of linear singular operators

Cites Work

• Unnamed Item
• Elementary solutions of the transport equation and their applications
• Exact solution of the problem of diffuse reflection and transmission by the method of Laplace transform and linear singular operators

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