On certain summation problems and generalizations of Eulerian polynomials and numbers

被引：21
作者：
Hsu, LC
Shiue, PJS
机构：
[1] Dalian Univ Technol, Inst Math, Dalian 116024, Peoples R China
[2] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
[3] Acad Sinica, Inst Math, Taipei, Taiwan
来源：
DISCRETE MATHEMATICS | 1999年 / 204卷 / 1-3期
关键词：
generalized Eulerian polynomials; degenerate weighted Stirling numbers; Dickson polynomials; Dickson-Eulerian number;
D O I：
10.1016/S0012-365X(98)00379-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to introduce two kinds of generalized Eulerian polynomials and numbers which are associated with the constructions of certain summation formulas for extended arithmetic-geometric series. Also we present some basic formulas related to certain generalized Eulerian numbers, Carlitz-Howard's degenerated Stirling numbers and Dickson-Stirling numbers. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：237 / 247
页数：11
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