Application of the Wiener-Hopf technique for a new representation of X- and Y-equations

DOI10.1007/BF00645800zbMath0393.45006MaRDI QIDQ1252492

Rabindra Nath Das

Publication date: 1979

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

zbMATH Keywords

Coupled Linear Integral EquationWiener-Hopf TechniqueX- and Y-Equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Radiative transfer in astronomy and astrophysics (85A25) Dual, triple, etc., integral and series equations (45F10)

Related Items (7)

Exact solution of a basic equation in finite atmosphere by the method of Laplace transform and linear singular operators ⋮ Exact solution of a simple time-dependent integro-differential equation by the method of Laplace transform and the theory of linear singular operators ⋮ A new method for exact solution of transfer equations in finite media ⋮ Existence, uniqueness, and approximation solutions to linearized Chandrasekhar equation with sharp bounds ⋮ Application of Wiener-Hopf technique to linear nonhomogeneous integral equations for a new representation of Chandrasekhar's \(H\)-function in radiative transfer, its existence and uniqueness ⋮ The time-dependent \(X\)- and \(Y\)-functions ⋮ Solution of Riemann-Hilbert problems for determination of new decoupled expressions of Chandrasekhar's \(X\)- and \(Y\)-functions for slab geometry in radiative transfer

Cites Work

• A new representation of the H-functions of radiative transfer
• Exact solution of the problem of diffuse reflection and transmission by the method of Laplace transform and linear singular operators
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