Catalan transform of the k-Jacobsthal-Lucas

Hakan Akkuş

Master'sOpen Access

TR

|EN

Catalan transform of the k-Jacobsthal-Lucas

2022

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Advisor: Dr. Öğr. Üyesi Rabia Nagehan Üregen ; Prof. Dr. Engin Özkan

Abstract (EN)

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.