Some Explicit Formulas for the Generalized Frobenius-Euler Polynomials of Higher Order

被引：2
|
作者：
Belbachir, Hacene [1 ]
Souddi, Nassira [1 ,2 ]
机构：
[1] USTHB, Fac Math, RECITS Lab, BP 32, Algiers 16111, Algeria
[2] Univ Oran 1 Ahmed Ben Bella, Fac Sci, BP 1524, Elm Naouer 31000, Oran, Algeria
来源：
FILOMAT | 2019年 / 33卷 / 01期
关键词：
Whitney numbers and polynomials; Bernoulli and Euler polynomials; Explicit formulas; Frobenius Euler polynomials; Recurrence relations; Stirling numbers and polynomials; algorithm; WHITNEY NUMBERS;
D O I：
10.2298/FIL1901211B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim is to derive some explicit formulas for the generalized Bernoulli and Euler polynomials in terms of Whitney and translated Whitney numbers of the second kind. Also we derive some explicit formulas for the generalized Euler polynomials and Genocchi-like polynomials in terms of generalized Whitney polynomials of the second kind. We provide an algorithm for computing the generalized Frobenius-Euler polynomials of higher order.
引用
收藏
页码：211 / 220
页数：10
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