Results 31 to 40 of about 2,538,078 (99)
Summing Sneddon–Bessel series explicitly
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6590-6606, 15 May 2024.We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum \limits_{m=1}^{\infty}\frac{J_{\alpha}\left(x{j}_{m,\nu}\right){J}_{\beta}\left(y{j}_{m,\nu}\right)}{j_{m,\nu}^{2n+\alpha +\beta -2\nu +2}{J}_{\nu +1}{\left({j}_ ...
Antonio J. Durán +2 more
wiley +1 more source
S. N. Bose (1894‐1974) and the Bose quantum statistics a centennial tribute
, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 625-644, 1993.
Lokenath Debnath
wiley +1 more source
General Fractional Integrals and Derivatives of Arbitrary Order
, 2021 In this paper, we introduce the general fractional integrals and derivatives of arbitrary order and study some of their basic properties and particular cases.
Yuri Luchko
core +1 more source
Variable-Order Fractional Calculus: from Old to New Approaches
, 2023 Different approaches to introduce fractional derivatives and integrals of variable order have been proposed. The majority of these operators are obtained by replacing the constant order with some function in the time-domain formulation of the usual ...
Garrappa R., Giusti A., Mainardi F.
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Proof of two conjectures on Askey-Wilson polynomials
, 2023 We give positive answer to two conjectures posed by M. E. H Ismail in his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, Cambridge, 2005].
Castillo, K. +3 more
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Fractional Calculus in Russia at the End of XIX Century
, 2021 In this survey paper, we analyze the development of Fractional Calculus in Russia at the end of the XIX century, in particular, the results by A. V. Letnikov, N. Ya. Sonine, and P. A. Nekrasov.
Maryna Dubatovskaya +3 more
core +1 more source
Mass transport of impurities in a moderately dense granular gas [PDF]
, 2009 Publicado en: Phys. Rev. E 79, 041303 (2009) doi:10.1017/S0022112009007800Por medio de la expansión Chapman-Enskog se obtienen los coeficientes de transporte asociados con el flujo de masa de impurezas inmersos en un gas granular moderadamente denso de
Vega Reyes, Francisco +1 more
core +2 more sources
Kinetic Theory of Polydisperse Granular Mixtures: Influence of the Partial Temperatures on Transport Properties-A Review. [PDF]
Entropy (Basel), 2022 García Chamorro M +2 more
europepmc +1 more source
A note on Laguerre original ODEs and Polynomials (1879)
, 2020 : In the present note a critical discussion of two ODEs and two polynomials that have been wrongly attributed to the French mathematician Edmond Nicolas Laguerre (1834-1886) is provided.
Mohamed Elmansour Hassani (702390)
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Kinetic Theory and Memory Effects of Homogeneous Inelastic Granular Gases under Nonlinear Drag. [PDF]
Entropy (Basel), 2022 Megías A, Santos A.
europepmc +1 more source