摘要
根据Euler数、Bernoulli数、Genochi数的定义,利用函数方程和母函数方法研究了Euler数、Bernoulli数、Genochi数的幂级数展开和它们之间的内在联系,得到了包含Euler数、Bernoulli数、Genocchi数的几个简洁的恒等式;并给出了Euler数、Bernoulli数、Genochi数之间相互表示的关系式,同时结合实例进行了计算.
By using the method of generating function and definitions of Euler Numbers,Bernoulli Numbers and Genocchi Numbers,the relationships between Euler Numbers,Bernoulli Numbers and Genocchi Numbers were studied based on power series of some functions,some identities involving Euler Numbers,Bernoulli Numbers and Genocchi Numbers were obtained,and some examples about how to calculate Euler Numbers,Bernoulli Numbers and Genocchi Numbers were illustrated.
出处
《浙江师范大学学报（自然科学版）》
CAS
2004年第3期230-233,共4页
Journal of Zhejiang Normal University:Natural Sciences
基金
浙江师范大学科研基金(2001032)
