Recurrence relations for powers of q-Fibonacci polynomials

2008/06/04 by Johann Cigler, Cigler, Johann
Mathematics · Physics and Astronomy · #05A30 #11B39 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.0806.0805

openalex publication_date 2008/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive some q-analogs of Euler-Cassini-type identities and of recurrence formulas for powers of Fibonacci polynomials.

Citations

• An Infinite Family of Engel Expansions of Rogers–Ramanujan Type

Related

• q-Fibonacci polynomials and q-Genocchi numbers
• Some beautiful q-analogues of Fibonacci and Lucas polynomials
• Some conjectures about q-Fibonacci polynomials
• Some elementary aspects of q-Fibonacci and q-Lucas polynomials
• Fibonacci Numbers and Identities