Generating Functions Related to the Fibonacci Substitution

Authors

  • Aisling Pouti MacEwan University
  • Nhi Phan MacEwan University

DOI:

https://doi.org/10.31542/muse.v7i1.2469

Abstract

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.

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Published

2023-04-17

How to Cite

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