Some formulae for bivariate Fibonacci and Lucas polynomials

Details Some formulae for bivariate Fibonacci and Lucas polynomials Some formulae for bivariate Fibonacci and Lucas polynomials

2004-06-16

arxiv.org/abs/math/0406323v1

Mathematics

Combinatorics

Scientific paper

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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