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Breakdown of the Sonine expansion for the velocity distribution of granular gases
The velocity distribution of a granular gas is analyzed in terms of the Sonine polynomials expansion. We derive an analytical expression for the third Sonine coefficient a3.
Thorsten Pöschel +1 more
exaly +2 more sources
An Application of the Sonine–Letnikov Fractional Derivative for the Radial Schrödinger Equation
The Sonine–Letnikov fractional derivative provides the generalized Leibniz rule and, some singular differential equations with integer order can be transformed into the fractional differential equations. The solutions of these equations obtained by
Ökkeş Öztürk, Reşat Yilmazer
exaly +2 more sources
Extending Sonine kernels to arbitrary dimensions
Arran Fernandez
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Sonine-type integral transforms related to the Dunkl operator on the real line
Integral Transforms and Special Functions, 2009Mohamed Ali Mourou
exaly
Sonine—Gegenbauer-type integrals
Journal of Computational and Applied Mathematics, 1994Allen R Miller
exaly
Multiplier operators and extremal functions related to the dual dunkl-sonine operator
Acta Mathematica Scientia, 2013Fethi Soltani
exaly
Modified Sonine approximation for the Navier–Stokes transport coefficients of a granular gas
Physica A: Statistical Mechanics and Its Applications, 2007Vicente Garzó +2 more
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