具有奇数参数的广义中心阶乘数

建模与仿真(英文) Pub Date : 2020-06-16 DOI:10.4236/ojmsi.2020.83005

Youmna H. Zaid, F. Shiha, B. El-Desouky

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引用次数: 1

摘要

在本文中，我们考虑了具有第一类和第二类奇自变量的中心阶乘数的r-推广。主要是，我们获得了与这些数字相关的各种恒等式和性质。给出了矩阵表示以及这些数字与Pascal矩阵之间的关系。此外，还导出了无符号r中心阶乘数的分布。此外，还给出了这些数与勒让德-斯特灵数之间的联系。

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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Generalized Central Factorial Numbers with Odd Arguments

In this paper, we consider r-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.

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建模与仿真(英文)

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