On Convolved Generalized Fibonacci and Lucas Polynomials

2013/08/17 by José L. Ramírez, Jósé L. Ramírez, Ramírez, José L.
Mathematics · Physics and Astronomy · #11B39 #11B83 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B39 #msc:11B83

paper · pdf · doi:10.48550/arxiv.1308.3804

arxiv created 2013/08/17 · openalex publication_date 2013/08/17 · arxiv updated 2013/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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