Generating functions related to the Fibonacci substitution
Fibonacci substitution, functions
In this paper, two generating function representations of the Fibonacci Substitution Tiling are derived and proven to converge on the interval -1<x<1. A sequence of signs for the Fibonacci Substitution is established along with a conjecture that the interval of convergence has an infinite number of zeroes.
Pouti, A., & Phan, N. (2023). Generating functions related to the Fibonacci Substitution. MacEwan University Student EJournal, 7(1). https://doi.org/10.31542/muse.v7i1.2469
Attribution-NonCommercial (CC BY-NC)