Entropic integrals of orthogonal hypergeometric polynomials with general supports

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dc.contributor.author Sánchez-Ruiz, Jorge
dc.contributor.author Sánchez Dehesa, Jesús
dc.date.accessioned 2010-01-22T13:58:13Z
dc.date.available 2010-01-22T13:58:13Z
dc.date.issued 2000-06-01
dc.identifier.bibliographicCitation Journal of Computational and Applied Mathematics, 2000, vol. 118, n. 1-2, p. 311-322
dc.identifier.issn 0377-0427
dc.identifier.uri http://hdl.handle.net/10016/6589
dc.description.abstract The 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.format.mimetype text/html
dc.language.iso eng
dc.publisher Elsevier
dc.subject.other Hypergeometric polynomials
dc.subject.other Information entropy
dc.subject.other Second-order differential equations
dc.subject.other Probability measures
dc.subject.other Entropy-like integrals
dc.title Entropic integrals of orthogonal hypergeometric polynomials with general supports
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1016/S0377-0427(00)00296-X
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1016/S0377-0427(00)00296-X
dc.rights.accessRights openAccess
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