广义高阶Bernoulli多项式的一些恒等式及其应用  

Some Identities Involving Generalized Higher-order Bernoulli Polynomials and Its Applications

作　　者：王念良[1] 

机构地区：[1]商洛学院数学与计算机应用学院/应用数学研究所,陕西商洛726000

出　　处：《商洛学院学报》2014年第6期3-5,共3页Journal of Shangluo University

基　　金：陕西省教育厅专项科研计划项目(2013JK0570)

摘　　要：Bernoulli多项式及其多种推广形式在组合数学、解析数论等领域中起着十分重要的作用。广义Bernoulli多项式Bn,χ(x)与Euler多项式、Dirichlet级数有密切的联系。应用绝对收敛Laurent级数的卷积公式,给出了广义高阶Bernoulli多项式的一些表达式和一个推论。Bernoulli polynomials and its variety generalizations play a central role in the theory of Combination and Analytic Number Theory. It is well- known that the generalized Bernoulli polynomial Bn,χ（x） closely related to Euler polynomials and Dirichlet series. By the product formulas of the absolute convergence Laurent expansion, a representation of generalized Higher-order Bernoulli polynomial and a corollary are obtained.

关 键 词：BERNOULLI数 广义高阶Bernoulli多项式 LAURENT级数 

分 类 号：O156.4[理学—数学]