一种新的二阶线性递推多项式及其应用  

A New Second-Order Linear Recurrence Polynomials and Some Applications

作　　者：何晓雪 王婷婷[1] HE Xiao-xue;WANG Ting-ting(College of Science,Northwest A & F University,Yangling 712100,Shaanxi,China)

机构地区：[1]西北农林科技大学理学院,陕西杨凌712100

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2019年第2期107-111,116,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11501452);中央高校基本科研业务费专项资金资助(2452017171)

摘　　要：构造了一种新的二阶线性递推多项式,利用初等方法和组合技巧研究其性质,并得到一些有趣的恒等式.同时,作为所得定理的重要应用,给出一些关于Fibonacci数列、Lucas数列、Pell数列的恒等式.In this paper,we introduced a new second-order linear recurrence polynomials,then used the elementary method and the combinational skills to study its various properties,and obtained some interesting identities.As some important applications of our results,we gave several new identities involving the famous Fibonacci numbers,Lucas numbers,Pell numbers.

关 键 词：二阶线性递推多项式 LUCAS数列 FIBONACCI数列 Pell数列 

分 类 号：O156.1[理学—数学]