关于裴波那契数和鲁卡数的平方的一些恒等式

数学季刊 ›› 2004, Vol. 19 ›› Issue (1): 67-68.

关于裴波那契数和鲁卡数的平方的一些恒等式

Institute of Mathematics, Shangluo Teacher's College, Shangluo 726000, China

收稿日期:2002-07-02 出版日期:2004-03-30 发布日期:2024-03-26
作者简介:LIU Duan-sen(1961-),male,native of Shanyang,Shaanxi,an associate professor of Shangluo Teacher's College,engages in number theory.
基金资助:
Supported by the Natural Science Foundation of Shaanxi Province(2002A11)； Supported by the Shangluo Teacher’s College Research Foundation(SKY2106)；

Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers

Institute of Mathematics, Shangluo Teacher's College, Shangluo 726000, China

Received:2002-07-02 Online:2004-03-30 Published:2024-03-26
About author:LIU Duan-sen(1961-),male,native of Shanyang,Shaanxi,an associate professor of Shangluo Teacher's College,engages in number theory.
Supported by:
Supported by the Natural Science Foundation of Shaanxi Province(2002A11)； Supported by the Shangluo Teacher’s College Research Foundation(SKY2106)；

摘要/Abstract

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: Chebyshev , , polynomials, Fibonacci , , numbers, Lucas , , numbers, identity

Abstract: 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.

Key words: Chebyshev , , polynomials, Fibonacci , , numbers, Lucas , , numbers, identity

中图分类号:

O156.4

刘瑞森, 李超, 杨存典. 关于裴波那契数和鲁卡数的平方的一些恒等式[J]. 数学季刊, 2004, 19(1): 67-68.

LIU Duan-sen, LI Chao, YANG Cun-dinn. Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 67-68.

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