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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/268282026-10-20T22:45:10Zopenairedrivercom_ebyu_10007col_ebyu_25981col_ebyu_25969

k-Jacobsthal-Lucas sayılarının Catalan dönüşümüCatalan transform of the k-Jacobsthal-LucasHakan AkkuşDr. Öğr. Üyesi Rabia Nagehan Üregen ; Prof. Dr. Engin ÖzkanFibonacci sequencesHankel transformationCatalansLucas PolynomialsPell equationFibonacci dizileriHankel dönüşümüKatalanlarLucas polinomlarıPell denklemiBu tezde k-Jacobsthal-Lucas dizisinin S_(k,n) catalan dönüşümünün CS_(k,n) tanımı verilmiştir. k-Jacobsthal-Lucas dizisinin S_(k,n) catalan dönüşümü elde edilmiştir. Ayrıca CS_(k,n)dönüşümü alt üçgen matris olan Catalan matrisi C ile n x 1 tipindeki S_k matrisinin çarpımı olarak yazılmıştır ve bazı Katalan k- Jacobsthal-Lucas sayılarının Hankel dönüşümü verilmiştir.In this thesis, 〖CS〗_(k,n) of S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas sequences is defined. S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas S_(k,n) sequences is obtained. In addition the transformation of CS_(k,n) is written as the product of the Catalan matrix C, which is the lower triangular matrix, and the S_k matrix of type 𝑛 𝑥 1, and the Hankel transformations of some k-Jacobsthal-Lucas numbers has been found.Erzincan Binali Yıldırım University2022Master Thesishttps://rdlopen.rawdatalibrary.net/r/ebyu/26828trinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/masterThesishttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/26828