Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers

Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (1): 67-68.

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)；

Abstract

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

CLC Number:

O156.4

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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Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers

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