论文标题

Q(x)矩阵的广义斐波那契多项式的某些身份

Some identities for the generalized Fibonacci polynomials by the Q(x) matrix

论文作者

Chen, Chung-Chuan, Huang, Lin-Ling

论文摘要

在本说明中,我们通过使用Q(x)矩阵获得广义斐波那契多项式的一些身份。这些身份包括Cassini身份和Honsberger公式,可以应用于某些多项式序列,例如纤维纤维多项式,Lucas多项式,Pell多项式,Pell-Lucas多项式,多项式,Fermat多项式,Fermat多项式,Fermat-lucas lothomials和On。

In this note, we obtain some identities for the generalized Fibonacci polynomial by using the Q(x) matrix. These identities including the Cassini identity and Honsberger formula can be applied to some polynomial sequences, such as Fibonacci polynomials, Lucas polynomials, Pell polynomials, Pell-Lucas polynomials, Fermat polynomials, Fermat-Lucas polynomials, and so on.

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