摘要
利用发生函数的方法,讨论了高阶Bernoulli数和高阶Euler数,高阶Bernoulli多项式和高阶Euler多项式之间的关系,得到了经典Bernoulli数和Euler数,经典Bernoulli多项式和Euler多项式之间的新型关系.
In this paper, we comprehensively discuss the relationships between the Bernoulli numbers of higher order and Euler numbers of higher order, between the Bernoulli polynomials of higher order and Euler polynomials of higher order, by using the method of generating functions, and we obtain some new results. Furthermore, we obtain several new relationships between the classical Bernoulli numbers and Euler numbers, between the classical Bernoulli polynomials and Euler polynomials.
出处
《数学杂志》
CSCD
北大核心
2005年第6期631-636,共6页
Journal of Mathematics
基金
国家自然科学基金(10001016)
河南省自然科学基金(00405180)
