Some Limit Relationships Between Some Two-Variable Finite and Infinite Sequences of Orthogonal Polynomials
| dc.authorid | Güldoğan Lekesiz, Esra/0000-0001-7653-8745 | |
| dc.authorid | Aktas, Rabia/0000-0002-7811-8610 | |
| dc.authorscopusid | 57221458453 | |
| dc.authorscopusid | 25823678500 | |
| dc.authorwosid | Güldoğan Lekesiz, Esra/AAJ-5215-2021 | |
| dc.authorwosid | Aktas, Rabia/C-1228-2018 | |
| dc.contributor.author | Guldogan Lekesiz, Esra | |
| dc.contributor.author | Aktas, Rabia | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:17:07Z | |
| dc.date.available | 2024-07-05T15:17:07Z | |
| dc.date.issued | 2021 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Guldogan Lekesiz, Esra] Atilim Univ, Dept Math, Ankara, Turkey; [Aktas, Rabia] Ankara Univ, Dept Math, Fac Sci, TR-06100 Ankara, Turkey | en_US |
| dc.description | Güldoğan Lekesiz, Esra/0000-0001-7653-8745; Aktas, Rabia/0000-0002-7811-8610 | en_US |
| dc.description.abstract | The 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.sponsorship | Ankara University Scientific Research Project Unit (BAP) [20L0430007] | en_US |
| dc.description.sponsorship | The 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.citationcount | 2 | |
| dc.identifier.doi | 10.1080/10236198.2021.2006192 | |
| dc.identifier.endpage | 1722 | en_US |
| dc.identifier.issn | 1023-6198 | |
| dc.identifier.issn | 1563-5120 | |
| dc.identifier.issue | 12 | en_US |
| dc.identifier.scopus | 2-s2.0-85120731701 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1692 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/10236198.2021.2006192 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1721 | |
| dc.identifier.volume | 27 | en_US |
| dc.identifier.wos | WOS:000722556800001 | |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Lekesiz, Esra Güldoğan | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 2 | |
| dc.subject | Orthogonal polynomial | en_US |
| dc.subject | limit relation | en_US |
| dc.subject | partial differential equation | en_US |
| dc.subject | recurrence relation | en_US |
| dc.subject | generating function | en_US |
| dc.title | Some Limit Relationships Between Some Two-Variable Finite and Infinite Sequences of Orthogonal Polynomials | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 3 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 9d2c18c3-9314-41de-843d-4e1bdb1b4f38 | |
| relation.isAuthorOfPublication.latestForDiscovery | 9d2c18c3-9314-41de-843d-4e1bdb1b4f38 | |
| relation.isOrgUnitOfPublication | 31ddeb89-24da-4427-917a-250e710b969c | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 31ddeb89-24da-4427-917a-250e710b969c |