Generating functions related to the Fibonacci substitution

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Fibonacci substitution, functions

Abstract (summary)

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.

Publication Information

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

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Student Article

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Attribution-NonCommercial (CC BY-NC)

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