Abstract

We obtain some new identities for the generalized Fibonacci polynomial by a new approach, namely, the Q(x) matrix.
These identities including the Cassini type identity and Honsberger type formula can be applied to some polynomial
sequences such as Fibonacci polynomials, Lucas polynomials, Pell polynomials, Pell-Lucas polynomials and so on, which
generalize the previous results in references.

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