A note on the monomiality principle and generalized polynomials

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.

Bibliographic Details
Main Authors: G. Dattoli, C. Cesarano, D. Sacchetti
Format: Article
Language:English
Published: Sapienza Università Editrice 2001-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2001/311-316.pdf
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author G. Dattoli
C. Cesarano
D. Sacchetti
author_facet G. Dattoli
C. Cesarano
D. Sacchetti
author_sort G. Dattoli
collection DOAJ
description 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.
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spelling doaj.art-64432d8e0b0343eab0502735fa5b9a162022-12-22T03:31:41ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502001-01-01211311316A note on the monomiality principle and generalized polynomialsG. Dattoli0C. Cesarano1D. Sacchetti2ENEA, Centro Ricerche FrascatiUniversity of UlmUniversità La SapienzaThe 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.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2001/311-316.pdfhermite polynomialsmonomialitydivision algorithmremainder theorem
spellingShingle G. Dattoli
C. Cesarano
D. Sacchetti
A note on the monomiality principle and generalized polynomials
Rendiconti di Matematica e delle Sue Applicazioni
hermite polynomials
monomiality
division algorithm
remainder theorem
title A note on the monomiality principle and generalized polynomials
title_full A note on the monomiality principle and generalized polynomials
title_fullStr A note on the monomiality principle and generalized polynomials
title_full_unstemmed A note on the monomiality principle and generalized polynomials
title_short A note on the monomiality principle and generalized polynomials
title_sort note on the monomiality principle and generalized polynomials
topic hermite polynomials
monomiality
division algorithm
remainder theorem
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2001/311-316.pdf
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AT dsacchetti anoteonthemonomialityprincipleandgeneralizedpolynomials
AT gdattoli noteonthemonomialityprincipleandgeneralizedpolynomials
AT ccesarano noteonthemonomialityprincipleandgeneralizedpolynomials
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