The Generalized <i>r</i>-Whitney Numbers

• 作者: B. S. El-Desouky Ethar M. Shokr F. A. Shiha
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Whitney NUMBERS r-Whitney NUMBERS p-Stirling NUMBERS GENERALIZED q-Stirling NUMBERS GENERALIZED STIRLING NUMBERS
• 年，卷（期）: 2017,（1）
• 页码范围: 117-132
• 页数: 16页
• 分类号: O1

摘要

In this paper, we define the generalized r-Whitney numbers of the first and second kind. Moreover, we drive the generalized Whitney numbers of the first and second kind. The recurrence relations and the generating functions of these numbers are derived. The relations between these numbers and generalized Stirling numbers of the first and second kind are deduced. Furthermore, some special cases are given. Finally, matrix representation of the relations between Whitney and Stirling numbers is given.