摘要
本文给出了n元Euler数、n元Bernoulli数、n元Euler多项式、n元Bernoulli多项式的定义,导出了它们的母函数,得到了n元Euler数与Euler数,n元Bernoulli数与Bernoulli数、n元Euler多项式与n元Bernoulli多项式的关系式。
In this paper, we give the definition of n-variables Euler's numbers, Bernoulli's number, Euler's polgnomial and Bernoulli's polynomial. Find out their generating function, we have obtained mathematical relationship between n-variables Euler's numbers and Euler's numbers, n-variables Bernoulli's numbers and Bernoulli's numbers, n-variables Euler's polynomial and n-variables Bernoulli's polynomial.
出处
《数学杂志》
CSCD
1997年第3期353-358,共6页
Journal of Mathematics
关键词
欧拉数
伯努利数
伯努利多项式
欧拉多项式
n-variables Euler's numbers, n-variables Bernoulli's numbers, n-variables Euler's polynomial, n-variables Bernoulli's polynomial