Generating Functions Related to the Fibonacci Substitution
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.
Copyright (c) 2023 Aisling Pouti, Nhi Phan
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
By publishing works in MUSe, authors and creators retain copyright under a Creative Commons Attribution NonCommercial (CC BY-NC) license, which allows others to share these works for non-commercial purposes as long as credit is given. The MUSe Editorial Board reserves the right to make copy-editing changes to works prior to publication to ensure they conform to the publication's style and quality standards. The Editorial Board also reserves the right to archive published submissions in MacEwan University's institutional repository, RO@M.