Results 111 to 120 of about 128,844 (218)

Spreading lengths of Hermite polynomials

open access: yesJournal of Computational and Applied Mathematics, 2010
16 pages, 4 figures.
Pablo Sánchez-Moreno   +3 more
openaire   +4 more sources

Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

open access: yesSymmetry, 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
doaj   +1 more source

Studies on the Method of Orthogonal Collocation IV. Laguerre and Hermite Orthogonal Collocation Method

open access: yesJournal 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
doaj   +1 more source

THE ROLE OF HERMITE POLYNOMIALS IN ASYMPTOTIC ANALYSIS [PDF]

open access: yes, 1999
Hermite polynomials are considered as approximants in asymptotic representations of certain other polynomials. Examples are given for polynomials from the Askey scheme of hypergeometric orthogonal polynomials. We also mention that Hermite polynomials can
NICO M. TEMME   +3 more
core   +1 more source

Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

open access: yesMathematical 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
doaj   +1 more source

An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta [PDF]

open access: yes, 2015
Funding: STFC Consolidated Grant [ST/K000950/1] (OA, TN & FW) and a Doctoral Training Grant [ST/K502327/1] (OA). EPSRC Doctoral Training Grant [EP/K503162/1] (ST).We present a first discussion and analysis of the physical properties of a new exact ...
Allanson, Oliver   +13 more
core   +1 more source

Old and new results about relativistic Hermite polynomials

open access: yes, 2011
International audienceWe provide new proofs of already known results as well as new results about the family of relativistic Hermite polynomials. We use essentially probabilistic tools such as moment representations, pioneered by Ismail , but also ...
Vignat, Christophe, C. Vignat
core   +1 more source

Certain results for the Hermite and Chebyshev polynomials of 2-variables

open access: yes, 2019
<p>In this paper, we introduce Hermite-Chebyshev polynomials of two variables and to give some properties of Hermite and Chebyshev polynomials of two variables. We derive series representation, operational identities, generating functions and power
G. Muhiuddin, Noor Rehman, Young Bae Jun
core   +1 more source

A STUDY ON GENERALIZED HERMITE POLYNOMIALS

open access: yes, 2017
In this paper, we obtain generating functions involving hyper geometric functions. Rodrigues type formula of Hermite polynomials which is closely related to generalized Hermite polynomials of Dattoli et. al.
Kamal Gupta
core   +1 more source

Combinatorial And Analytic Properties Of The N-Dimensional Hermite Polynomials

open access: yes, 2017
We investigate some combinatorial and analytic properties of the n-dimensional Hermite polynomials introduced by Hermite in the late 19-th century. We derive combinatorial interpretations and recurrence relations for these polynomials.
Ismail, Mourad E.H., Simeonov, Plamen
core   +1 more source

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