Euler数和高阶Euler数的推广

数学季刊 ›› 2005, Vol. 20 ›› Issue (1): 54-58.

Euler数和高阶Euler数的推广

Department of Mathematics, Jiaozuo University, Jiaozuo 454003, China;Department of Applied Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454001, China

收稿日期:2002-10-26 出版日期:2005-03-30 发布日期:2024-01-26
作者简介:LUO Qiu-ming(1966-),male,native of Wuzhi,Henan,an associate professor of Jiaozuo Univer- sity,engages in special functions,analytic inequalities and analytic number theory.
基金资助:
Supported by the NNSF of China(10001016) SF for the Prominent Youth of Henan Province；

Generalizations of Euler Numbers and Euler Numbers of Higher Order

Department of Mathematics, Jiaozuo University, Jiaozuo 454003, China;Department of Applied Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454001, China

Received:2002-10-26 Online:2005-03-30 Published:2024-01-26
About author:LUO Qiu-ming(1966-),male,native of Wuzhi,Henan,an associate professor of Jiaozuo Univer- sity,engages in special functions,analytic inequalities and analytic number theory.
Supported by:
Supported by the NNSF of China(10001016) SF for the Prominent Youth of Henan Province；

摘要/Abstract

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: Euler , numbers;higher , order , Euler , numbers;generalized , Euler , numbers;gen-
eralized higher order Euler numbers;recursion formula

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.

Key words: Euler , numbers;higher , order , Euler , numbers;generalized , Euler , numbers;gen-
eralized higher order Euler numbers;recursion formula

中图分类号:

O174.6

雒秋明, 祁锋. Euler数和高阶Euler数的推广[J]. 数学季刊, 2005, 20(1): 54-58.

LUO Qiu-ming, QI Feng. Generalizations of Euler Numbers and Euler Numbers of Higher Order[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 54-58.

[1]	张健, 王其林. 锥似凸映射下集值优化Henig有效解的高阶最优性条件[J]. 数学季刊, 2011, 26(3): 415-419.
[2]	毛伟, 韩修静, 陈波. 带跳的随机比例微分方程的半隐式Euler数值解法[J]. 数学季刊, 2011, 26(3): 405-409.
[3]	张冠宇, 杜英玲. 知识的属性扰动与属性扰动定理[J]. 数学季刊, 2008, 23(4): 574-581.
[4]	张蕾, 姜健飞. 两组算子单调函数序列与严格Chaotic序[J]. 数学季刊, 2006, 21(4): 597-607.
[5]	徐志庭, 金楚华. 具非线性中立项的二阶时滞微分方程的振动性质[J]. 数学季刊, 2006, 21(2): 271-277.
[6]	赵才地, 李用声. 一个四阶方程组在全直线上的整体吸引子[J]. 数学季刊, 2006, 21(2): 229-235.
[7]	徐庆华, 刘太顺. 用统一方法研究双全纯映射的一些子族[J]. 数学季刊, 2006, 21(2): 166-175.