首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
Authors:Hongmei Liu
Institution:a School of Science, Dalian Nationalities University, Dalian 116600, PR China
b Department of Mathematics, Nanjing University, Nanjing 210093, PR China
Abstract:In this paper, by the generating function method, we establish various identities concerning the (higher order) Bernoulli polynomials, the (higher order) Euler polynomials, the Genocchi polynomials and the degenerate higher order Bernoulli polynomials. Particularly, some of these identities are also related to the power sums and alternate power sums. It can be found that, many well known results, especially the multiplication theorems, and some symmetric identities demonstrated recently, are special cases of our results.
Keywords:Bernoulli polynomials  Euler polynomials  Genocchi polynomials  Power sums  Alternate power sums  Combinatorial identities
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号