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

作     者：B. S. El-Desouky F. A. Shiha Ethar M. Shokr 

作者机构：Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2017年第8卷第1期

页      面：117-132页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Whitney Numbers r-Whitney Numbers p-Stirling Numbers Generalized q-Stirling Numbers Generalized Stirling Numbers 

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.