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.
出处
《苏州科技学院学报（自然科学版）》
CAS
2005年第1期10-17,共8页
Journal of Suzhou University of Science and Technology （Natural Science Edition）
关键词
二阶线性递归序列
积分序列
广义调和数
second-order linear recursive polynomial
integral sequences
generalized harmonic number
