A CLASS OF FROBENIUS-TYPE EULERIAN POLYNOMIALS

被引：9
|
作者：
Srivastava, H. M. [1 ,2 ]
Boutiche, M. A. [3 ]
Rahmani, M. [3 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[3] USTHB, Fac Math, POB 32,El Alia 16111, Algiers, Algeria
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 03期
关键词：
Algorithm; Frobenius-type Eulerian polynomials; tangent numbers; explicit formulas; recurrence relations; Stirling numbers of the first and second kind; Whitney numbers of the second kind; WEIGHTED STIRLING NUMBERS; BERNOULLI; FORMULA; 1ST;
D O I：
10.1216/RMJ-2018-48-3-1003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to prove several explicit formulas associated with the Frobenius-type Eulerian polynomials in terms of the weighted Stirling numbers of the second kind. As a consequence, we derive an explicit formula for the tangent numbers of higher order. We also give a recursive method for the calculation of the Frobenius-type Eulerian numbers and polynomials.
引用
收藏
页码：1003 / 1013
页数：11
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