A note on the monomiality principle and generalized polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 Italy Publisher:Università degli Studi di Roma ``La Sapienza'', Dipartimento di Matematica, Rome; Istituto Nazionale di Alta Matematica Francesco Severi, RomeJournal:Rendiconti di Matematica e delle Sue Applicazioni (issn: 1120-7183,

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Authors: G. DATTOLI; C. CESARANO; SACCHETTI, Dario;

handle: 11573/79359

A note on the monomiality principle and generalized polynomials

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Abstract

Summary: 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.

Country

Italy

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Sapienza University of Rome
Italy

Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hermite polynomials, division algorithm, QA1-939, monomiality, remainder theorem, hermite polynomials, Mathematics

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