一般二阶线性递归多项式的积分序列(英文)  

Integration Sequences of General Second-Order Linear Recursive Polynomials

作　　者：施玲玲[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《苏州科技学院学报（自然科学版）》2005年第1期10-17,共8页Journal of Suzhou University of Science and Technology （Natural Science Edition）

摘　　要：将Jacobsthal多项式和Jacobsthal-Lucas多项式推广到了更一般的二阶线性递归多项式un(x),vn(x),研究了此多项式的积分序列Sn(x)=x0∫un(s)ds和Tn(x)=x0∫vn(s)ds,给出了它们的封闭表示,利用广义调和数,对数列Sn(1),Tn(1)的性质作了较为全面的探讨。In this paper, we are concerned with the more general second-order linear recursive polynomials un(x), vn(x) have studied the basic properties of the following sequences S(x)=un(s)ds and Tn(x)=vn(s)ds. After establishing closed-form expressions for the numbers Sn(1) and Tn(1), we present several identities involving them by using generalized harmonic numbers.

关 键 词：二阶线性递归序列 积分序列 广义调和数 

分 类 号：O156.1[理学—数学] O157.1[理学—基础数学]