Fibonacci和Chebyshev多项式的恒等式

Some identities involving the Fibonacci and Chebyshev polynomial

研究了Chebyshev多项式、Lucas多项式和Fibonacci多项式之间的关系,通过分析各多项式的定义,并结合三者之间的性质和关系,得出了Chebyshev多项式和Fibonacci多项式之间一些恒等式.其结果深化了三类多项式的关系.

The relations of the Chebyshev polynomial, Lucas polynomial and Fibonacci polynomial are discussed. By analisis of the definitions and properties of three polynomials, some new identities are given in this present paper. This result deepens the relations o{ these three polynomials.