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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

On Rational Functions with Golden Ratio as Fixed Point

Edgar Gilbuena Amaca1, Hossein Shahmohamad1
1School of Mathematical Sciences Rochester Institute of Technology, Rochester, NY 146
  • Published: 31/08/2011

Abstract

The existence of an equivalence subset of rational functions with Fibonacci numbers as coefficients and the Golden Ratio as fixed point is proven. The proof is based on two theorems establishing basic relationships underlying the Fibonacci Sequence, Pascal’s Triangle, and the Golden Ratio.

Keywords: Recurrence, Golden ratio, Fibonacci
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Citation
Edgar Gilbuena Amaca, Hossein Shahmohamad. On Rational Functions with Golden Ratio as Fixed Point[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 078. 187-193. DOI: .