The r -central factorial numbers with even indices

Advances in Difference Equations

article

Shiha, F. A.¹ 

[1] Department of Mathematics, Faculty of Science, Mansoura University

关键词: r -central factorial numbers with even indices;    Pascal matrix;    Stirling numbers;   

DOI  :  10.1186/s13662-020-02763-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce the r-central factorial numbers with even indices of the first and second kind as extended versions of the central factorial numbers with even indices of both kinds. We obtain several fundamental properties and identities related to these numbers. The connections between the new numbers and the Stirling numbers are presented. In addition, we give the probability distribution of the unsigned r-central factorial numbers with even indices. Finally, we consider the r-central factorial matrices and study some of their properties.

【 授权许可】

CC BY