Results 81 to 90 of about 1,248 (191)
Theory of generalized hermite polynomials
Computers & Mathematics with Applications, 1994 The paper discusses multivariable forms of Hermite polynomials. The polynomials are introduced by generating functions. Orthogonality, series expansions in terms of the generalized polynomials and partial differential equations are discussed. For the two-dimensional case several graphs are given.
Dattoli, G. +4 more
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Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
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Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Patrick Desrosiers, Martin Hallnäs
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Journal of King Saud University: Engineering Sciences, 2000 Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
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Tectonics, Volume 45, Issue 7, July 2026.Abstract The Gaggiano High, buried beneath the sediments of the Western Po Plain (northern Italy), represents one of the few examples of Mesozoic structural highs largely preserved within a foreland–foredeep system. Unlike the adjacent Lacchiarella Basin, which underwent strong positive inversion during the Neogene, the Gaggiano High experienced only ...
M. Mercuri +7 more
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Mathematical Modelling and Analysis, 2016 We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional.
Gorana Aras-Gazic +2 more
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Multiindex Multivariable Hermite Polynomials [PDF]
Mathematical and Computational Applications, 2002 In the present paper multiindex multivariable Hermite polynomials in terms of series and generating function are defined. Their basic properties, differential and pure recurrence relations, differential equations, generating function relations and expansions have been established. Few deductions are also obtained.
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Spreading lengths of Hermite polynomials
Journal of Computational and Applied Mathematics, 2010 16 pages, 4 figures.
Pablo Sánchez-Moreno +3 more
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Multi-variable Gould-Hopper and Laguerre polynomials
Le Matematiche, 2007 The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
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ON THE MODIFIED HERMITE INTERPOLATION POLYNOMIALS
Demonstratio Mathematica, 1982 The author defines \(Q_ n(f,x)\) to be the polynomial of degree \(\leq 2n- 1\) associated with the function \(f(x)\in C^ 1[-1,1]\) satisfying the following interpolatory conditions: (i) \(Q_ n(x_{\nu n},f)=f_{\nu n}\), (ii) \(Q'\!_ n(x_{\nu n},f)=(f_{\nu n}-f_{\nu +1,n})/(x_{\nu n}-x_{\nu +1,n})=\chi_{\nu n}=f'(\xi_{\nu n}) x_{\nu n}
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