Chebyshev-Fibonacci polynomial relations using generating functions
Combinatorics
2021-03-16 v1 Number Theory
Abstract
The main object of the paper is to reveal connections between Chebyshev polynomials of the first and second kinds and Fibonacci polynomials introduced by Catalan. This is achieved by relating the respective (ordinary and exponential) generating functions to each other. As a consequence, we also establish new combinatorial identities for balancing polynomials and Fibonacci (Lucas) numbers.
Cite
@article{arxiv.2103.08015,
title = {Chebyshev-Fibonacci polynomial relations using generating functions},
author = {Robert Frontczak and Taras Goy},
journal= {arXiv preprint arXiv:2103.08015},
year = {2021}
}
Comments
15 pages