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Identities for Fibonacci and Lucas polynomials derived from a book of Gould

2004/07/07 by Mario Catalani, Catalani, Mario
Mathematics · Physics and Astronomy · #11B39 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #math.CO #msc:11B39

paper · pdf · doi:10.48550/arxiv.math/0407105

arxiv created 2004/07/07 · openalex publication_date 2004/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note is dedicated to Professor Gould. The aim is to show how the identities in his book "Combinatorial Identities" can be used to obtain identities for Fibonacci and Lucas polynomials. In turn these identities allow to derive a wealth of numerical identities for Fibonacci and Lucas numbers.

Citations

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