Topic
Fibonacci number
About: Fibonacci number is a research topic. Over the lifetime, 6711 publications have been published within this topic receiving 65977 citations.
Papers published on a yearly basis
Papers
More filters
19 Sep 2001
435 citations
Book•
01 Jan 1989
422 citations
303 citations
Book•
01 Jan 2003TL;DR: The Fibonacci and Lucas identities as mentioned in this paper have been used in the analysis of the Stirling numbers and the Gibonacci numbers in the context of number theory and number theory.
Abstract: 1. Fibonacci identities 2. Lucas identities 3. Gibonacci identities 4. Linear recurrences 5. Continued fractions 6. Binomial identities 7. Alternating sign binomial identities 8. Harmonic numbers and Stirling numbers 9. Number theory 10. Advanced Fibonacci and Lucas identities.
300 citations
Book•
17 Dec 1997
TL;DR: The first 100 Fibonacci and Lucas numbers relationships involving the Lucas numbers were shown in this article, and the first 100 relationships involving Lucas numbers involving the Fiboni numbers were also shown in this paper.
Abstract: Basic properties of the golden ratio geometric problems in two dimensions geometric problems in three dimensions Fibonacci numbers Lucas numbers and generalized Fibonacci numbers continued fractions and rational approximants generalized Fibonacci representation theorems optimal spacing and search algorithms commensurate and incommensurate projections Penrose tilings quasicrystallography biological applications construction of the regular pentagon the first 100 Fibonacci and Lucas numbers relationships involving Fibonacci and Lucas numbers.
288 citations