Some power series extensions of Fibonacci and Lucas polynomials

2025/09/05 by Johann Cigler, Cigler, Johann
Mathematics · Physics and Astronomy · #0501 #05A19 #11B39 #11B83 #Advanced Mathematical Identities #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2509.04881

openalex publication_date 2025/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study formal power series which can be interpreted as interpolations of Fibonacci and Lucas polynomials with even (or odd) indices.

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