Results 111 to 120 of about 128,844 (218)
Spreading lengths of Hermite polynomials
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
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
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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THE ROLE OF HERMITE POLYNOMIALS IN ASYMPTOTIC ANALYSIS [PDF]
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
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]
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
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
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Certain results for the Hermite and Chebyshev polynomials of 2-variables
<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
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A STUDY ON GENERALIZED HERMITE POLYNOMIALS
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
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Combinatorial And Analytic Properties Of The N-Dimensional Hermite Polynomials
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
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