Catalan Transform of The k-Lucas Numbers

Bu çalışmada, k-Lucas dizisinin Catalan dönüşümünün tanımı verildi. k-Lucas dizisinin Catalan dönüşümünün geren fonksiyonu elde edildi. Ayrıca, Hankel fonksiyonu kullanılarak oluşturulan matrislerin determinantları hesaplandı.

Anahtar Kelimeler:

k-Lucas dizisi, k-Fibonacci dizisi, Catalan dönüşümü, Hankel dönüşümü.

Catalan Transform of The ?−Lucas Numbers

In this study, the ???,? description of Catalan transformation of ?−Lucas ??,? sequences was given. The ???,? generating function of Catalan transformation of ?−Lucas ??,? sequences was obtained. And also, ???,? transformation was written as the multiplying of Catalan matris C which is the lower triangular matris, and the ?? matris of ? ? 1 type. Determinants of matrices which were formed with ???,? by using Hankel transform were calculated.

Keywords:

?−Lucas sequence, ?−Fibonacci sequence, Catalan Transform, Hankel Transform.,

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