| 关于常系数线性递推数列的母函数求法探究 |
| |
| 引用本文： | 陈朝斌,昌春艳,张磊,吴立宝. 关于常系数线性递推数列的母函数求法探究[J]. 佳木斯大学学报, 2009, 27(4): 593-595 |
| |
| 作者姓名： | 陈朝斌 昌春艳 张磊 吴立宝 |
| |
| 作者单位： | 内江师范学院数学与信息科学学院,四川,内江,641112 |
| |
| 基金项目： | 内江师范学院2008年度大学生科研项目 |
| |
| 摘 要： | 通过文献和比较研究,分析组合数学中的递推数列问题,初步揭示别人的研究思路和研究成果,掌握最新的研究进展,从理论上构建母函数的基本思想,避免运用消元思想的复杂性和局限性,并以近年的研究生入学考试题中的典型问题为例,讨论常系数线性递推数列的计算方法,并归纳总结出一般解法.
|
| 关 键 词： | 递推数列 母函数 推广 |
The Study of Master Function''s Solution on Constant Coefficient Linear Recursion Equations |
| |
| CHEN Chao-bin,CHANG Chun-yan,ZHANG Lei,WU Li-bao. The Study of Master Function''s Solution on Constant Coefficient Linear Recursion Equations[J]. Journal of Jiamusi University(Natural Science Edition), 2009, 27(4): 593-595 |
| |
| Authors: | CHEN Chao-bin CHANG Chun-yan ZHANG Lei WU Li-bao |
| |
| Affiliation: | College of Mathematics and Information Science;Neijiang Normal University;Neijiang 641112;China |
| |
| Abstract: | Through the literature and a comparative study,the recursive equations in mathematical analysis was analyzed.The basic idea of generating function in theory was proposed,avoiding the complexity and limitations elimination of elimination antilogy's usage.Some typical problems in the post-graduate entrance examinations in the recent few years were taken as examples to discuss the calculating method of constant coefficient linear recursion equations and summarize the general solution. |
| |
| Keywords: | recursive equations master function promotion |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
