Some Limit Relationships Between Some Two-Variable Finite and Infinite Sequences of Orthogonal Polynomials

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dc.authoridGüldoğan Lekesiz, Esra/0000-0001-7653-8745
dc.authoridAktas, Rabia/0000-0002-7811-8610
dc.authorscopusid57221458453
dc.authorscopusid25823678500
dc.authorwosidGüldoğan Lekesiz, Esra/AAJ-5215-2021
dc.authorwosidAktas, Rabia/C-1228-2018
dc.contributor.authorGuldogan Lekesiz, Esra
dc.contributor.authorAktas, Rabia
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:17:07Z
dc.date.available2024-07-05T15:17:07Z
dc.date.issued2021
dc.departmentAtılım Universityen_US
dc.department-temp[Guldogan Lekesiz, Esra] Atilim Univ, Dept Math, Ankara, Turkey; [Aktas, Rabia] Ankara Univ, Dept Math, Fac Sci, TR-06100 Ankara, Turkeyen_US
dc.descriptionGüldoğan Lekesiz, Esra/0000-0001-7653-8745; Aktas, Rabia/0000-0002-7811-8610en_US
dc.description.abstractThe aim of paper is to give some limit relationships between finite and infinite sequences of orthogonal polynomials in two variables and to obtain the well-known relations of some infinite sets of two-variable orthogonal polynomials by taking limit of the properties verified by finite classes of two-variable orthogonal polynomials. Furthermore, the fourth-order partial differential equations satisfied by the polynomials, which are the products of finite orthogonal polynomials, are presented and by taking limit of the derived fourth-order equations, partial differential equations for some infinite sequences of two-variable orthogonal polynomials are found.en_US
dc.description.sponsorshipAnkara University Scientific Research Project Unit (BAP) [20L0430007]en_US
dc.description.sponsorshipThe research of the first and second authors has been supported by Ankara University Scientific Research Project Unit (BAP) [Project No: 20L0430007].en_US
dc.identifier.citationcount2
dc.identifier.doi10.1080/10236198.2021.2006192
dc.identifier.endpage1722en_US
dc.identifier.issn1023-6198
dc.identifier.issn1563-5120
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85120731701
dc.identifier.scopusqualityQ3
dc.identifier.startpage1692en_US
dc.identifier.urihttps://doi.org/10.1080/10236198.2021.2006192
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1721
dc.identifier.volume27en_US
dc.identifier.wosWOS:000722556800001
dc.identifier.wosqualityQ3
dc.institutionauthorLekesiz, Esra Güldoğan
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount2
dc.subjectOrthogonal polynomialen_US
dc.subjectlimit relationen_US
dc.subjectpartial differential equationen_US
dc.subjectrecurrence relationen_US
dc.subjectgenerating functionen_US
dc.titleSome Limit Relationships Between Some Two-Variable Finite and Infinite Sequences of Orthogonal Polynomialsen_US
dc.typeArticleen_US
dc.wos.citedbyCount3
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery9d2c18c3-9314-41de-843d-4e1bdb1b4f38
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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