The Cauchy Exponential of Linear Functionals on the Linear Space of Polynomials

In this paper, we introduce the notion of the Cauchy exponential of a linear functional on the linear space of polynomials in one variable with real or complex coefficients using a functional equation by using the so-called moment equation. It seems that this notion hides several properties and resu...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Francisco Marcellán, Ridha Sfaxi
Format:	Article
Language:	English
Published:	MDPI AG 2023-04-01
Subjects:	cauchy power of linear functional cauchy exponential of linear functional weakly-regular linear functional regular linear functional positive-definite linear functional orthogonal polynomial sequence
Online Access:	https://www.mdpi.com/2227-7390/11/8/1895