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Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers
作者姓名:LIU Duan-sen  LI Chao  YANG Cun-dian Institute of Mathematics  Shangluo Teacher's College  Shangluo  China
作者单位:[1]CollegeofMathematicsandInformationScience,HenanUniversity,Kaifeng475001,China [1]InstituteofMathematics,ShangluoTeacher'sCollege,Shangluo726000,China [2]InstituteofMathematics,ShangluoTeacher'sCollege,Shangluo726000,China
基金项目:Supported by the Natural Science Foundation of Shaanxi Province(2002A11),Supported by the Shangluo Teacher's College Research Foundation(SKY2106)
摘    要:By studying the properties of Chebyshev polynomials, some specific and meaningful identities for the calculation of square of Chebyshev polynomials, Fibonacci numbers and Lucas numbers are obtained.

关 键 词:斐波纳契数列  卢卡斯  民数记  多项式

Some Identities Involving Square of FibonacciNumbers and Lucas Numbers
LIU Duan-sen,LI Chao,YANG Cun-dian Institute of Mathematics,Shangluo Teacher''''s College,Shangluo ,China.Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers[J].Chinese Quarterly Journal of Mathematics,2004,19(1):67-68.
Authors:LIUDuan-sen LIChao YANGCun-dian
Abstract:By studying the properties of Chebyshev polynomials, some specific and mean-ingful identities for the calculation of square of Chebyshev polynomials, Fibonacci numbersand Lucas numbers are obtained.
Keywords:Chebyshev polynomials  Fibonacci numbers  Lucas numbers  identity
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