Results 121 to 130 of about 31,835 (251)

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

open access: yesMathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim   +3 more
doaj   +1 more source

L1-norm convergence of Hermite-Fejér interpolation based on the Laguerre and Hermite abscissas [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 1994
: Convergence results are proved for Hermite–Fejér interpolation at the zeros of polynomials orthogonal with respect to generalized Laguerre and Hermite weights. These results can be applied to convergence of product integration rules.
P. RABINOWITZ , L.GORI
doaj  

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

A note on the monomiality principle and generalized polynomials [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2001
The monomiality principle is used to state generalized forms of the division algorithm and of the remainder theorem for families of polynomials written as linear combination of Hermite polynomials.
G. Dattoli, C. Cesarano, D. Sacchetti
doaj  

A digression on Hermite polynomials

open access: yes, 2019
Orthogonal polynomials are of fundamental importance in many fields of mathematics and science, therefore the study of a particular family is always relevant. In this manuscript, we present a survey of some general results of the Hermite polynomials and show a few of their applications in the connection problem of polynomials, probability theory and ...
openaire   +2 more sources

On squares of Hermite polynomials [PDF]

open access: yesAequationes Mathematicae, 1983
Glasser, M.L., Shawagfeh, Nabil
openaire   +1 more source

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