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Euler数和高阶Euler数的推广
引用本文:LUO Qiu-ming,QI Feng (Department of Mathematics,Jiaozuo University,Jiaozuo 454003,China,Department of Applied Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454001,China). Euler数和高阶Euler数的推广[J]. 数学季刊, 2005, 20(1): 54-58
作者姓名:LUO Qiu-ming  QI Feng (Department of Mathematics  Jiaozuo University  Jiaozuo 454003  China  Department of Applied Mathematics and Information Science  Henan Polytechnic University  Jiaozuo 454001  China)
作者单位:Department of Mathematics,Jiaozuo University,Jiaozuo 454003,China;Department of Applied Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454001,China
基金项目:Supported by the NNSF of China(10001016) SF for the Prominent Youth of Henan Province
摘    要:
The purpose of this paper is to define the generalized Euler numbers and the generalized Euler numbers of higher order, their recursion formula and some properties were established, accordingly Euler numbers and Euler numbers of higher order were extended.

关 键 词:广义高阶欧拉数  递归公式  解析数论  黎曼Zeta函数

Generalizations of Euler Numbers and Euler Numbers of Higher Order
LUOQiu-ming QIFeng. Generalizations of Euler Numbers and Euler Numbers of Higher Order[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 54-58
Authors:LUOQiu-ming QIFeng
Affiliation:[1]DepartmentofMathematics,JiaozuoUniversity,Jiaozuo454003,China [2]DepartmentofAppliedMathematicsandInformationScience,HenanPolytechnicUniversity,Jiaozuo454001,China
Abstract:
The purpose of this paper is to define the generalized Euler numbers and the generalized Euler numbers of higher order, their recursion formula and some properties were established, accordingly Euler numbers and Euler numbers of higher order were extended.
Keywords:Euler numbers  higher order Euler numbers  generalized Euler numbers  generalized higher order Euler numbers  recursion formula
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