d-ortogonal polinomlar
| dc.contributor.advisor | Duman, Esra | |
| dc.contributor.author | Orucova, Gülşen | |
| dc.date.accessioned | 2020-12-10T13:14:38Z | |
| dc.date.available | 2020-12-10T13:14:38Z | |
| dc.date.submitted | 2013 | |
| dc.date.issued | 2018-08-06 | |
| dc.identifier.uri | https://acikbilim.yok.gov.tr/handle/20.500.12812/299274 | |
| dc.description.abstract | Bu çalışmada d-ortogonal polinomlar incelenmiştir. İlk olarak önbilgiler ve kullanılacak olan bazı kavramlar, d-ortogonallikle ilgili tanımlar ve lemmalar verilmiştir. Daha sonra Humbert polinomlarının d-ortogonalliği gösterilmiş ve özel hallerinin d-ortogonalliği incelenmiştir. Ayrıca Jacobi tipi polinomların d-ortogonalliği gösterilmiş, rekürans bağıntısı elde edilmiştir. Buna ek olarak genelleştirilmiş d-ortogonal polinomlar verilerek özel halleri incelenmiştir. Son olarak Hermite tipi polinomların d-ortogonalliği gösterilmiş, Charlier, Gould-Hopper, Laguerre tipi polinomlar ve bunların d-ortogonalliği araştırılmıştır. | |
| dc.description.abstract | In this study, d-orthogonal polynomials were investigated. First, preliminaries and some concepts that will be used, definitions and lemmas regarding the concept of d-orthogonality were given. After that d-orthogonality of Humbert polynomials was shown and d-orthogonalities of their special cases were examined. Also d-orthogonality of Jacobi-type polynomials was shown and recurrence relation was obtained. In addition generalized d-orthogonal polynomials were given and their special cases were investigated. Lastly d-orthogonality of Hermite-type polynomials was shown, d-orthogonalities of Charlier, Gould-Hopper and Laguerre-type polynomials were investigated. | en_US |
| dc.language | Turkish | |
| dc.language.iso | tr | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | Attribution 4.0 United States | tr_TR |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Matematik | tr_TR |
| dc.subject | Mathematics | en_US |
| dc.title | d-ortogonal polinomlar | |
| dc.title.alternative | d-ortogonal polinomlar | |
| dc.type | masterThesis | |
| dc.date.updated | 2018-08-06 | |
| dc.contributor.department | Matematik Anabilim Dalı | |
| dc.identifier.yokid | 10008147 | |
| dc.publisher.institute | Fen Bilimleri Enstitüsü | |
| dc.publisher.university | GAZİ ÜNİVERSİTESİ | |
| dc.identifier.thesisid | 343717 | |
| dc.description.pages | 83 | |
| dc.publisher.discipline | Diğer |
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