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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/262462026-10-20T22:44:29Zopenairedrivercom_ebyu_10007col_ebyu_25981col_ebyu_25969

k-Lucas dizilerde catalan dönüşümüCatalan transform of the k-Lucas sequenceOlcay GüngörProf. Dr. Engin ÖzkanBu 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 sayfa Anahtar kelimeler: k-Lucas, k-Fibonacci, Catalan, HankelIn 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 pages Keywords: k-Lucas, k-Fibonacci, Catalan, HankelErzincan Binali Yıldırım University2019Master Thesishttps://rdlopen.rawdatalibrary.net/r/ebyu/26246trinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/masterThesishttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/26246