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Entropic integrals of orthogonal hypergeometric polynomials with general supports

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorSánchez-Ruiz, Jorge
dc.contributor.authorSánchez Dehesa, Jesús
dc.date.accessioned2010-01-22T13:58:13Z
dc.date.available2010-01-22T13:58:13Z
dc.date.issued2000-06-01
dc.description.abstractThe Boltzmann-Shannon information entropy of probability measures which involve the continuous hypergeometric-type polynomials {pn(x)}, orthogonal with respect to a general weight function ω(x), is determined by two integral quantities: one with kernel pn2(x)ω(x) ln pn2(x), called as entropy of the polynomial pn(x), and another one with kernel pn2(x)ω(x) ln ω(x). Here, an explicit expression for the latter quantity, and for a broader family of related integrals, is obtained in terms only of the second-order differential equation satisfied by the involved polynomials. For illustration, the general formula is applied to evaluate the integrals corresponding to the three classical families of continuous orthogonal polynomials on the real axis of hypergeometric type (Hermite, Laguerre, and Jacobi).
dc.description.statusPublicado
dc.format.mimetypetext/html
dc.identifier.bibliographicCitationJournal of Computational and Applied Mathematics, 2000, vol. 118, n. 1-2, p. 311-322
dc.identifier.doi10.1016/S0377-0427(00)00296-X
dc.identifier.issn0377-0427
dc.identifier.urihttps://hdl.handle.net/10016/6589
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/S0377-0427(00)00296-X
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherHypergeometric polynomials
dc.subject.otherInformation entropy
dc.subject.otherSecond-order differential equations
dc.subject.otherProbability measures
dc.subject.otherEntropy-like integrals
dc.titleEntropic integrals of orthogonal hypergeometric polynomials with general supports
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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