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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/120332026-10-18T20:26:59Zopenairedrivercom_ebyu_10000col_ebyu_10001

On K-Chebsyhev SequenceOzkan, EnginAkkus, HakanBinet FormulaCassini IdentityCatalan TransformationFibonacci sequencesk-Chebsyhev sequencesIn this study, firstly the k-Chebsyhev sequence is defined, and some terms of this sequence are given. Then, the relations between the terms of the k-Chebsyhev sequence are presented and the generating function of this sequence is obtained. In addition, the Catalan transformation of the sequence is given and the generating function of the Catalan k-Chebsyhev sequence is obtained. Finally, the Hankel transform is applied to the Catalan k-Chebsyhev transform. © 2023 World Scientific and Engineering Academy and Society. All rights reserved.World Scientific and Engineering Academy and Society2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12033https://doi.org/10.37394/23206.2023.22.561109-2769enWSEAS Transactions on Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12033