2015/08/20 by Ivica Martinjak, Helmut Prodinger, Martinjak, Ivica +1 · 1 citation
Mathematics · Physics and Astronomy · #11B37 #11B39 #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1508.04949
openalex publication_date 2015/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present two families of Fibonacci-Lucas identities, with the Sury's identity being the best known representative of one of the families. While these results can be proved by means of the basic identity relating Fibonacci and Lucas sequences we also provide a bijective proof. Both families are then treated by generating functions.