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arxiv: 1308.3804 · v1 · pith:IS7DWNPInew · submitted 2013-08-17 · 🧮 math.NT

On Convolved Generalized Fibonacci and Lucas Polynomials

classification 🧮 math.NT
keywords fibonacciconvolvedpolynomialslucasclassicalcombinatorialdefineextension
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We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials. Moreover we obtain the convolved h(x)-Fibonacci polynomials form a family of Hessenberg matrices.

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