Generalized Central Factorial Numbers with Odd Arguments

• 作者: B. S. El-Desouky
• 来源期刊: 建模与仿真(英文)
• 学科: 数学
• 关键词: Generalized Central Factorial Numbers with Odd Arguments Pascal Matrix Legendre-Stirling Numbers
• 年，卷（期）: 2020,（3）
• 页码范围: 61-72
• 页数: 12页
• 分类号: O17

摘要

In this paper, we consider <i>r</i>-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these numbers. Matrix representation and the relation between these numbers and Pascal matrix are given. Furthermore, the distributions of the signless r-central factorial numbers are derived. In addition, connections between these numbers and the Legendre-Stirling numbers are given.