On K-Chebsyhev Sequence

Author:

Ozkan Engin1,Akkus Hakan2

Affiliation:

1. Department of Mathematics, Faculty of Sciences Arts, Erzincan Binali Yıldırım University, Erzincan, TURKEY

2. Department of Mathematics, Graduate School of Natural and Applied Sciences, Erzincan Binali Yıldırım University, Erzincan, TURKEY

Abstract

In 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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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