Some New Identities for the Generalized Fibonacci Polynomials by the Q(x) Matrix

Chung-Chuan Chen and Lin-Ling Huang

Journal of Mathematics Research, 2021, vol. 13, issue 2, 21

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.

Date: 2021
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