Fibonacci, Lucas, and Spread Polynomials

2025/07/13 by Cigler, Johann
#0501 #11B39 #11B83 #11R09 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.09689

Abstract

This note gives an elementary exposition of a variant of the spread polynomials in terms of Fibonacci and Lucas polynomials.

Citations

• Factorization of spread polynomials
• On the numerology of trigonometric polynomials

Related

• Some power series extensions of Fibonacci and Lucas polynomials
• Factorization of spread polynomials
• Some elementary aspects of q-Fibonacci and q-Lucas polynomials
• Some beautiful q-analogues of Fibonacci and Lucas polynomials
• One level summations for powers of Fibonacci and Lucas polynomials