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

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.authorSfaxi, Ridha
dc.contributor.funderComunidad de Madrides
dc.contributor.funderUniversidad Carlos III de Madrides
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-12-13T11:23:26Z
dc.date.available2023-12-13T11:23:26Z
dc.date.issued2023-04-02
dc.description.abstractIn 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.en
dc.description.sponsorshipThe 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).en
dc.format.extent18es
dc.identifier.bibliographicCitationMarcellán, F., & Sfaxi, R. (2023). The Cauchy exponential of linear functionals on the linear space of polynomials. Mathematics, 11(8), 1895.en
dc.identifier.doihttps://doi.org/10.3390/math11081895
dc.identifier.issn2227-7390
dc.identifier.publicationfirstpage1es
dc.identifier.publicationissue8es
dc.identifier.publicationlastpage18es
dc.identifier.publicationtitleMathematicsen
dc.identifier.publicationvolume11es
dc.identifier.urihttps://hdl.handle.net/10016/39081
dc.identifier.uxxiAR/0000033519
dc.language.isoengen
dc.publisherMDPIen
dc.relation.projectIDGobierno de España. PID2021-122154NB-I00es
dc.relation.projectIDComunidad de Madrid. EPUC3M23es
dc.rights© 2023 by the authors. Licensee MDPI, Basel, Switzerland.en
dc.rightsThis article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherCauchy exponential of linear functionalen
dc.subject.otherCauchy power of linear functionalen
dc.subject.otherDu-Laguerre-Hahn operatoren
dc.subject.otherOrthogonal polynomial sequenceen
dc.subject.otherPositive-definite linear functionalen
dc.subject.otherRegular linear functionalen
dc.subject.otherWeakly-regular linear functionalen
dc.titleThe Cauchy Exponential of Linear Functionals on the Linear Space of Polynomialsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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