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Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach

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cris.lastimport.scopus2024-02-12T20:05:57Z
dc.abstract.enWe consider a general Sobolev-type inner product involving the Hahn difference operator, so this includes the well-known difference operators Dq and Δ and, as a limit case, the derivative operator. The objective is to construct the ladder operators for the corresponding nonstandard orthogonal polynomials and deduce the second-order differential-difference equation satisfied by these polynomials. Moreover, we will show that all the functions involved in these constructions can be computed explicitly.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorStokes, Alexander
dc.contributor.authorFilipuk, Galina
dc.contributor.authorDzhamay, Anton
dc.date.accessioned2024-01-24T21:48:54Z
dc.date.available2024-01-24T21:48:54Z
dc.date.issued2022
dc.description.financePublikacja bezkosztowa
dc.description.number4
dc.description.volume148
dc.identifier.doi10.1111/SAPM.12487
dc.identifier.issn0022-2526
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/104863
dc.identifier.weblinkhttps://onlinelibrary.wiley.com/doi/pdf/10.1111/sapm.12487
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofStudies in Applied Mathematics
dc.relation.pages1656-1702
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleDifferential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach
dc.typeJournalArticle
dspace.entity.typePublication