On the complex k-Fibonacci numbers

DOI10.1080/23311835.2016.1201944zbMath1426.11007OpenAlexW2464218211WikidataQ60692391 ScholiaQ60692391MaRDI QIDQ4966784

Sergio Falcon

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1201944

zbMATH Keywords

complex numbers\(k\)-Fibonacci numbersBinet identity

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Uses Software

• OEIS

Cites Work

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• \(k\)-Fibonacci sequences modulo \(m\)
• Binomial transforms of the \(k\)-Fibonacci sequence
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• A Generalized Fibonacci Sequence
• Notes on superstrings and the infinite sums of Fibonacci and Lucas numbers.

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