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Second-Order Difference Equation for Sobolev-Type Orthogonal Polynomials. Part II: Computational Tools

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cris.lastimport.scopus2024-02-12T19:58:11Z
dc.abstract.enWe consider polynomials orthogonal with respect to a nonstandard inner product. In fact, we deal with Sobolev-type orthogonal polynomials in the broad sense of the expression. This means that the inner product under consideration involves the Hahn difference operator, thus including the difference operators Dq and Δ and, as a limit case, the derivative operator. In a previous work, we studied properties of these polynomials from a theoretical point of view. There, we obtained a second-order differential/difference equation satisfied by these polynomials. The aim of this paper is to present an algorithm and a symbolic computer program that provides us with the coefficients of the second-order differential/difference equation in this general context. To illustrate both, the algorithm and the program, we will show three examples related to different operators.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMoreno-Balcázar, Juan J.
dc.contributor.authornull, Juan F. Mañas-Mañas
dc.contributor.authorFilipuk, Galina
dc.date.accessioned2024-01-26T05:38:54Z
dc.date.available2024-01-26T05:38:54Z
dc.date.issued2023
dc.description.financePublikacja bezkosztowa
dc.description.number4
dc.description.volume13
dc.identifier.doi10.4208/EAJAM.2022-235.190223
dc.identifier.issn2079-7362
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/119490
dc.identifier.weblinkhttp://dx.doi.org/10.4208/eajam.2022-235.190223
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofEast Asian Journal on Applied Mathematics
dc.relation.pages960-979
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleSecond-Order Difference Equation for Sobolev-Type Orthogonal Polynomials. Part II: Computational Tools
dc.typeJournalArticle
dspace.entity.typePublication