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Some formulae for bivariate Fibonacci and Lucas polynomials

Mario Catalani
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Abstract

We derive a collection of identities for bivariate Fibonacci and Lucas polynomials using essentially a matrix approach as well as properties of such polynomials when the variables $x$ and $y$ are replaced by polynomials. A wealth of combinatorial identities can be obtained for selected values of the variables.

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Mario Catalani. 2004-06-16. Some formulae for bivariate Fibonacci and Lucas polynomials. https://arxiv.org/abs/math/0406323

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