Publication:
Differential properties of Jacobi-Sobolev polynomials and electrostatic interpretation

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorPijeira Cabrera, Héctor Estebanes
dc.contributor.authorQuintero Roba, Javier Alejandroes
dc.contributor.authorToribio Milane, Juanes
dc.date.accessioned2023-09-20T15:35:17Z
dc.date.available2023-09-20T15:35:17Z
dc.date.issued2023-08-06
dc.descriptionThis article belongs to the Special Issue Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications.en
dc.description.abstractWe study the sequence of monic polynomials {S-n}n >= 0, orthogonal with respect to the JacobiSobolev inner product < f,g > s = integral(1)(-1) f (x)g(x) d mu(alpha,beta)(x) + Sigma (N)(dj)(j=1) lambda(j,k),f(k) (c(j))g((k))(cj), where N, d(j) is an element of Z(+), lambda(j,k) >= 0, d mu(alpha,beta)(x) = (1-x)(alpha)(1 + x)beta (dx), alpha, beta > -1, and c(j) is an element of R backslash(-1, 1). A connection formula that relates the Sobolev polynomials Sn with the Jacobi polynomials is provided, as well as the ladder differential operators for the sequence {S-n}(n >= 0) and a second-order differential equation with a polynomial coefficient that they satisfied. We give sufficient conditions under which the zeros of a wide class of Jacobi-Sobolev polynomials can be interpreted as the solution of an electrostatic equilibrium problem of n unit charges moving in the presence of a logarithmic potential. Several examples are presented to illustrate this interpretation.en
dc.description.sponsorshipThe research of J. Toribio-Milane was partially supported by Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico (FONDOCYT), Dominican Republic, under grant 2020-2021-1D1-137.en
dc.description.statusPublicadoes
dc.format.extent20
dc.identifier.bibliographicCitationPijeira-Cabrera, H; Quintero-Roba, J; Toribio-Milane, J. Differential Properties of Jacobi-Sobolev Polynomials and Electrostatic Interpretation. In: Mathematics 2023, 11(15),3420, 20 p.en
dc.identifier.doihttps://doi.org/10.3390/math11153420
dc.identifier.issn2227-7390
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue15, 3420
dc.identifier.publicationlastpage20
dc.identifier.publicationtitleMathematicsen
dc.identifier.publicationvolume11
dc.identifier.urihttps://hdl.handle.net/10016/38400
dc.identifier.uxxiAR/0000033312
dc.language.isoengen
dc.publisherMDPIen
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-NoComercial-SinDerivadas 3.0 Españaen
dc.rights.accessRightsopen accesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherJacobi Polynomialsen
dc.subject.otherSobolev Orthogonalityen
dc.subject.otherSecond-Order Differential Equationen
dc.subject.otherElectrostatic Modelen
dc.titleDifferential properties of Jacobi-Sobolev polynomials and electrostatic interpretationen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
differential_MATHEMATICS_2023.pdf
Size:
421.2 KB
Format:
Adobe Portable Document Format
Download
Collections
DM - GAMA - Artículos de Revistas