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Statement Exhibiting the Moral and Material Progress and Condition of India during the year 1888-89 Twenty-Fifth Number

, 1890
East India (Progress and Condition)
core  

Sonine—Gegenbauer-type integrals [PDF]

Journal of Computational and Applied Mathematics, 1994
Representations for complete and incomplete Sonine—Gegenbauer-type integrals are given in terms of generalized hypergeometric functions in two and three variables and in terms of Neumann-type series.
Allen R Miller
exaly   +2 more sources

Breakdown of the Sonine expansion for the velocity distribution of granular gases

Europhysics Letters, 2006
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, Nikolay Brilliantov
exaly   +2 more sources

Some Sonine-Gegenbauer type integrals [PDF]

Computers and Mathematics With Applications, 1999
In this paper, we consider Sonine-Gegenbauer type integrals of the form∫0zCμ(α2+at2)(α2+at2)δ2 Dv (β2+bt2)(β2+bt2)v2 tλ−1 dtwhere Cμ (z) and Dv(z) are Bessel functions.Series representations for z = ∞ and z finite are obtained.
Galué, L., Tuan, V.K., Kalla, S.
exaly   +2 more sources

An Application of the Sonine–Letnikov Fractional Derivative for the Radial Schrödinger Equation

Fractal and Fractional, 2019
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

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Sonine-type integral transforms related to the Dunkl operator on the real line

Integral Transforms and Special Functions, 2009
Mohamed Ali Mourou
exaly  

Modified Sonine approximation for the Navier–Stokes transport coefficients of a granular gas

Physica A: Statistical Mechanics and Its Applications, 2007
Vicente Garzó, José M Montanero, Andres Santos   +2 more
exaly  

Multiplier operators and extremal functions related to the dual dunkl-sonine operator

Acta Mathematica Scientia, 2013
Fethi Soltani
exaly