Results 91 to 100 of about 554,373 (301)
Role of higher-order Hermite polynomials in the central-moments-based lattice Boltzmann framework.
Physical Review E, 2019 The cascaded lattice Boltzmann method decomposes the collision stage on a basis of central moments on which the equilibrium state is assumed equal to that of the continuous Maxwellian distribution.
A. De Rosis, K. Luo
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Recurrence Relations for Wronskian Hermite Polynomials [PDF]
, 2018 We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term ...
Niels Bonneux, Marco Stevens
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From one-dimensional fields to Vlasov equilibria: theory and application of Hermite polynomials [PDF]
Journal of Plasma Physics, 2016 We consider the theory and application of a solution method for the inverse problem in collisionless equilibria, namely that of calculating a Vlasov–Maxwell equilibrium for a given macroscopic (fluid) equilibrium.
O. Allanson +3 more
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Mathematics, 2018 In this paper, we study differential equations arising from the generating functions of Hermit Kamp e ´ de F e ´ riet polynomials. Use this differential equation to give explicit identities for Hermite Kamp e ´ de F
Cheon Seoung Ryoo
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Deformed Complex Hermite Polynomials [PDF]
, 2014 We study a class of bivariate deformed Hermite polynomials and some of their properties using classical analytic techniques and the Wigner map. We also prove the positivity of certain determinants formed by the deformed polynomials. Along the way we also
Ali, S. Twareque +2 more
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Mehler's formulas for the univariate complex Hermite polynomials and applications [PDF]
, 2017 We give 2 widest Mehler's formulas for the univariate complex Hermite polynomials Hm,nν , by performing double summations involving the products umHm,nν(z,z‾)Hm,nν(w,w‾)‾ and umvnHm,nν(z,z‾)Hm,nν′(w,w‾)‾ . They can be seen as the complex analogues of the
A. Ghanmi
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Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
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MathematicsThe objective of this paper is to investigate Hermite-based Peters-type Simsek polynomials with generating functions. By using generating function methods, we determine some of the properties of these polynomials.
Eda Yuluklu
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An extension of Hermite polynomials [PDF]
International Journal of Contemporary Mathematical Sciences, 2014 In this paper, we introduce an extended Hermite polynomial ( , ) ( ) a b n H x , we establish its different forms, generating functions, basic recurrence relations, the pure recurrence relation, the second order differential equation, Rodrigues formula and orthogonality of the extended polynomial.
Ghulam Farid, G. M. Habibullah
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Stimulated Raman Scattering with Optical Vortex Beams
Advanced Photonics Research, EarlyView.This study presents exact analytical expressions for stimulated Raman scattering with Laguerre‐Gaussian beams, revealing signal dependence on topological and hyperbolic momentum. The results provide a theoretical foundation for coherent Raman imaging and detecting orbital angular momentum of light via structured light in nonlinear optics.
Minhaeng Cho
wiley +1 more source