摘要
本文的主要目的是建立多个关于高阶幂和与高阶交错幂和的对称等式.事实上,在参考文献[Discrete Math.,2008,308(4):550-554]和[Discrete Math.,2009,309(10):3346-3363]中证明的许多重要等式都是这些结果的特殊情形.
The main purpose of this paper is to estabUsh various symmetric identities concerning the higher-order power sums and the higher-order alternate power sums.It turns out that many well known identities which discussed in[Discrete Math.,2008,308(4):550-554]and[Discrete Math.,2009,309(10):3346-3363]are all special cases of these results.
出处
《数学进展》
CSCD
北大核心
2015年第1期29-36,共8页
Advances in Mathematics(China)
基金
supported by NSFC(No.11271185)
关键词
伯努利多项式
欧拉多项式
高阶幂和
高阶交错幂和
Bernoulli polynomials
Euler polynomials
higher-order power sums
higherorder alternate power sums