关于一个多项式序列的对称关系  

Symmetric Relations Involving a Sequence of Polynomials

作　　者：何圆[1,2] 张文鹏[2] 

机构地区：[1]昆明理工大学理学院,昆明650500 [2]西北大学数学系,西安710127

出　　处：《西南师范大学学报（自然科学版）》2013年第4期28-30,共3页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11071194);陕西省自然科学基础研究基金(2009JM1006);西北大学优秀博士学位论文基金(09YYB05)

摘　　要：研究了一个与广义Bernoulli多项式、高阶Apostol-Bernonlli多项式和高阶Apostol-Euler多项式相关的多项式序列.运用组合技巧建立了该多项式序列与幂和之间的两个对称关系.A sequence of polynomials tol-Bernoulli polynomials and higher associated with generalized Bernoulli order Apostol-Euler polynomials are techniques, two symmetric relations between such a lished. As applications, some corresponding results polynomials,higher order Apos-studied. By using combinatorial sequence of polynomials and sums of powers are estab-in the references are obtained as special cases.

关 键 词：广义Bernoulli多项式 Apostol-Bernoulli多项式 Apostol-Euler多项式 幂和 

分 类 号：O156.4[理学—数学]