k-Lucas dizilerde catalan dönüşümü
| dc.contributor.advisor | Özkan, Engin | |
| dc.contributor.author | Güngör, Olcay | |
| dc.date.accessioned | 2020-12-10T11:08:30Z | |
| dc.date.available | 2020-12-10T11:08:30Z | |
| dc.date.submitted | 2019 | |
| dc.date.issued | 2019-10-02 | |
| dc.identifier.uri | https://acikbilim.yok.gov.tr/handle/20.500.12812/256101 | |
| dc.description.abstract | Bu çalışmada, Falcon tarafından verilen k–Lucas dizisinin Catalan dönüşümünün 〖CL〗_(k,n) tanımı verildi. k–Lucas dizisinin Catalan dönüşümünün 〖CL〗_(k,n) geren fonksiyonu elde edildi. Ayrıca, 〖CL〗_(k,n) dönüşümü, alt üçgen matris olan Catalan matrisi C ile n × 1 tipindeki matrisinin çarpımı olarak yazıldı. Hankel fonksiyonu kullanılarak 〖CL〗_(k,n) ler ile oluşturulan matrislerin determinantları hesaplandı.2019, 31 sayfaAnahtar kelimeler: k-Lucas, k-Fibonacci, Catalan, Hankel | |
| dc.description.abstract | In this study, the 〖CL〗_(k,n) description of Catalan transformation of k-Lucas series given by Falcon was explained. The 〖CL〗_(k,n) generating function of Catalan transformation of k-Lucas series was ensued. And also, 〖CL〗_(k,n) transformation was written as the multiplying of Catalan matris C which is the lower triangular matris, and the L_k matris of n x 1 type. Determinants of matrises which were formed with 〖CL〗_(k,n) by using Hankel function were calculated.2019, 31 pagesKeywords: k-Lucas, k-Fibonacci, Catalan, Hankel | 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 | k-Lucas dizilerde catalan dönüşümü | |
| dc.title.alternative | Catalan transform of the k-Lucas sequence | |
| dc.type | masterThesis | |
| dc.date.updated | 2019-10-02 | |
| dc.contributor.department | Matematik Anabilim Dalı | |
| dc.identifier.yokid | 10211786 | |
| dc.publisher.institute | Fen Bilimleri Enstitüsü | |
| dc.publisher.university | ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ | |
| dc.identifier.thesisid | 563938 | |
| dc.description.pages | 42 | |
| dc.publisher.discipline | Diğer |
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