高阶Bernoulli多项式和高阶Euler多项式的组合恒等式  

Combinatorial Identity of High-order Bernoulli Polynomial and High-order Euler Polynomial

作　　者：杨存典[1] 刘端森[1] 

机构地区：[1]商洛学院数学与计算机科学学院,陕西商洛726000

出　　处：《甘肃科学学报》2016年第2期7-9,共3页Journal of Gansu Sciences

基　　金：国家自然科学基金项目(10671155)

摘　　要：研究了高阶Bernoulli多项式和高阶Euler多项式的关系,并得到了高阶Bernoulli多项式和高阶Euler多项式的表达式及关系式。运用Bernoulli多项式和Euler多项式的基本性质以及初等方法,对经典Bernoulli多项式和Euler多项式的恒等式进行了推广。The relationship between the high-order Bernoulli polynomial and high-order Euler polynomial was researched,and the expression and the relation of the high-order Bernoulli polynomial and high-order Euler polynomial were acquired.Further,the identity of the classical Bernoulli polynomial and Euler polynomial was popularized by using the basic properties of the Bernoulli polynomial and the Euler polynomial and the elementary method.

关 键 词：高阶BERNOULLI多项式 高阶EULER多项式 恒等式 

分 类 号：O156.4[理学—数学]