On Fibonacci functions with period \(k\)
type: Item
instance of: scholarly article
title: On Fibonacci functions with period \(k\)
zbMATH Open document ID: 1264.11010
DOI: 10.1155/2013/418123
author: Banyat Sroysang
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: A function \(f : \mathbb R \to \mathbb R\) is said to be a Fibonacci function if \(f(x + 2) = f(x + 1) + f(x)\) for all \(x \in \mathbb R\). In 2012, some properties on the Fibonacci functions were presented. In this paper, for any positive integer \(k\), a function \(f : \mathbb R \to \mathbb R\) is said to be a Fibonacci function with period \(k\) if \(f(x + 2k) = f(x + k) + f(x)\) for all \(x \in \mathbb R\); we present some properties on the Fibonacci functions with period \(k\).
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6175080
Wikidata QID: Q58921578
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/418123
OpenAlex ID: W1965364641
cites work: Fibonacci mean and golden section mean
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cites work: Fibonacci sequences in groupoids.
cites work: On Fibonacci functions with Fibonacci numbers
description: scientific article; zbMATH DE number 6175080