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BookDOI

The H-Function

Arak M. Mathai, +2 more
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The article was published on 2010-01-01. It has received 394 citations till now. The article focuses on the topics: Function (mathematics).

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Citations
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Book ChapterDOI

Multi-index Mittag-Leffler Functions

Rudolf Gorenflo, +3 more
TL;DR: In this paper, Dzherbashian [Dzh60] defined a function with positive α 1 > 0, α 2 > 0 and real α 1, β 2, β 3, β 4, β 5, β 6, β 7, β 8, β 9, β 10, β 11, β 12, β 13, β 14, β 15, β 16, β 17, β 18, β 20, β 21, β 22, β 24
Journal ArticleDOI

Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes

Andrey G. Cherstvy, +3 more
- 01 Aug 2013 - 
TL;DR: In this article, the authors demonstrate the non-ergodicity of a simple Markovian stochastic process with space-dependent diffusion coefficient D(x), which yields anomalous diffusion of the form hx 2 (t)i't 2/(2 ).
Journal ArticleDOI

Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes

Andrey G. Cherstvy, +3 more
- 22 Mar 2013 - 
TL;DR: The non-ergodicity of a simple Markovian stochastic process with space-dependent diffusion coefficient D(x) is demonstrated, which yields anomalous diffusion of the form hx 2 (t)i ' t 2/(2 ) .
Book

Program Logics for Certified Compilers

Andrew W. Appel, +7 more
TL;DR: This book covers practical and theoretical aspects of Separation Logic at a level accessible to beginning graduate students interested in software verification, and covers several aspects of the CompCert verified C compiler, and its connection to foundationally verified software analysis tools.
Journal ArticleDOI

Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations

Kassem Mustapha, +1 more
- 12 Jun 2012 - 
TL;DR: In this paper, the authors considered an initial-boundary value problem for a fractional diffusion or wave equation, and showed that the DG solution is superconvergent with respect to the maximum time step and the maximum diameter of the spatial finite elements.
References
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Book

Radiative Transfer

Subrahmanyan Chandrasekhar
Journal Article

Resolvent method: exact solutions of half-space transport problems by elementary means

V. V. Ivanov
- 01 Jun 1994 - 
TL;DR: In this article, a new version of the resolvent method for solving half-space transport problems is presented, which is based on the use of a non-linear equation relating the surface Green function G 0 (τ) for the semi-infinite medium and the green function G ∞(τ), for the infinite medium.
Journal ArticleDOI

A solution of Chandrasekhar’s integral equation

Charles Fox
- 01 Feb 1961 - 
TL;DR: In this paper, the authors present a method to transform a singular integral equation (SILE) into a Singular Integral Equation (SIE), which can then be solved by the standard work on singular integral equations by Muskhelishvili, Crum and Busbridge.
Journal ArticleDOI

Exact solution of the transport equation for radiative transfer with scattering albedo ωO < 1 using the Laplace transform and the Wiener-Hopf technique and an expression ofH-function

Rabindra Nath Das
- 01 Jan 1979 - 
TL;DR: In this paper, the authors considered the transport equation for radiative transfer to a problem in semi-infinite non-conservative atmosphere with no incident radiation and scattering albedo ω 0 < 1.
Journal ArticleDOI

Radiative Transfer in Plane-Parallel Media and Cauchy Integral Equations. I. The N-Function

B. Rutily, +1 more
- 11 Jan 2002 - 
TL;DR: In this paper, a revisited derivation of the functions H and X, Y of plane-parallel media from the singular integral equations they satisfy is presented, with the help of Plemelj's formulae.