RT Journal Article
T1 The Cauchy Exponential of Linear Functionals on the Linear Space of Polynomials
A1 Marcellán Español, Francisco José
A1 Sfaxi, Ridha
AB 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 results. Our purpose is to explore some of these properties and to compute the Cauchy exponential of some special linear functionals. Finally, a new characterization of the positive-definiteness of a linear functional is given.
PB MDPI
SN 2227-7390
YR 2023
FD 2023-04-02
LK https://hdl.handle.net/10016/39081
UL https://hdl.handle.net/10016/39081
LA eng
NO The research of R.S. has been supported by the Faculty of Sciences of Gabes, University of Gabes, City Erriadh 6072 Zrig, Gabes, Tunisia. The research of Francisco Marcellán has been supported by FEDER/Ministerio de Ciencia e Innovación—Agencia Estatal de Investigación of Spain, grant PID2021-122154NB-I00, and the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors, grant EPUC3M23 in the context of the V PRICIT (Regional Program of Research and Technological Innovation).
DS e-Archivo
RD 17 jul. 2024