Results 61 to 70 of about 525,666 (282)
On integrals involving Hermite polynomials
Applied Mathematics Letters, 2012 4 ...
M. Quattromini +2 more
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Journal of Combinatorial Theory, Series A, 2000 AbstractWe give an elementary proof that a transformation based on the Hermite polynomials preserves the property of having all real roots.
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Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani +3 more
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Generalized Hermite polynomials
Journal of Computational and Applied Mathematics, 1975 AbstractHermite polynomials of several variables are defined by a generalization of the Rodrigues formula for ordinary Hermite polynomials. Several properties are derived, including the differential equation satisfied by the polynomials and their explicit expression. An application is given.
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Spreading lengths of Hermite polynomials
Journal of Computational and Applied Mathematics, 2010 16 pages, 4 figures.
Rafael J. Yáñez +3 more
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Fourier transform of hn(x + p)hn(x − p)
International Journal of Mathematics and Mathematical Sciences, 1997 We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Mourad E. H. Ismail, Krzystztof Stempak
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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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On a class of Humbert-Hermite polynomials
Novi Sad Journal of Mathematics, 2019 A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinnsy, Horadam-Pethe, Djordjević , Gould, Milovanović and Djordjević, Pathan and Khan polynomials and many not so called ’named’ polynomials ...
Pathan, M. A., Khan, Waseem
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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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