| 一些关于Chebyshef多项式以及它们应用的恒等式(英文) |
| |
| 引用本文： | 潘晓玮.一些关于Chebyshef多项式以及它们应用的恒等式(英文)[J].数学杂志,2014,34(3):441-447. |
| |
| 作者姓名： | 潘晓玮 |
| |
| 作者单位： | 西安医学院公共课部;西北大学数学系; |
| |
| 基金项目： | Supported by Scientific Research Foundation of Shaanxi Provincial EducationDepartment(2013JK0561);Doctor Foundation of Xi’an Medical University(2012DOC14) |
| |
| 摘 要： | 本文研究了Chebyshef多项式的一类幂和问题.利用初等方法以及Chebyshef多项式的性质,获得了一些有趣的恒等式,推广了Melham关于Lucas数的奇数次幂和的猜想.
|
| 关 键 词： | Chebyshef多项式 Fibonacci数 Lucas数 恒等式 Melham猜想 |
| 收稿时间： | 2012/3/12 0:00:00 |
| 修稿时间： | 2012/6/20 0:00:00 |
SOME IDENTITIES RELATED TO CHEBYSHEFPOLYNOMIALS AND THEIR APPLICATIONS |
| |
| PAN Xiao-wei.SOME IDENTITIES RELATED TO CHEBYSHEFPOLYNOMIALS AND THEIR APPLICATIONS[J].Journal of Mathematics,2014,34(3):441-447. |
| |
| Authors: | PAN Xiao-wei |
| |
| Institution: | Department of Common Course, Xi''an Medical University, Xi''an 710021, China;Department of Mathematics, Northwest University, Xi''an 710069, China |
| |
| Abstract: | In this article, we study a kind of sum powers of Chebyshef polynomials. By using elementary method and the properties of the Chebyshef polynomials, several new identities are obtained, which generalizes Melham''s conjecture on sums of odd powers of Lucas numbers. |
| |
| Keywords: | Chebyshef polynomials Fibonacci numbers Lucas numbers identity Melham''s conjectures |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
