关于K-Chebsyhev序列

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-07-14 DOI:10.37394/23206.2023.22.56

E. Ozkan, Hakan Akkus

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引用次数: 0

摘要

本文首先定义了k-Chebsyhev序列，并给出了该序列的一些项。然后，给出了k-Chebsyhev序列各项之间的关系，得到了该序列的生成函数。此外，给出了序列的Catalan变换，得到了Catalan k-Chebsyhev序列的生成函数。最后，将汉克尔变换应用于Catalan k-Chebsyhev变换。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On K-Chebsyhev Sequence

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.

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.