Results 81 to 90 of about 1,051 (219)

Circulants and the factorization of the Fibonacci–like numbers [PDF]

, 2006
summary:Several authors gave various factorizations of the Fibonacci and Lucas numbers. The relations are derived with the help of connections between determinants of tridiagonal matrices and the Fibonacci and Lucas numbers using the Chebyshev ...
Trojovský, Pavel, Seibert, Jaroslav
core  

Strong divisibility sequences and sieve methods

Mathematika, Volume 70, Issue 4, October 2024.
Abstract We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods.
Tim Browning, Matteo Verzobio
wiley   +1 more source

The hidden diversity of vascular patterns in flower heads

New Phytologist, Volume 243, Issue 1, Page 423-439, July 2024.
Summary Vascular systems are intimately related to the shape and spatial arrangement of the plant organs they support. We investigate the largely unexplored association between spiral phyllotaxis and the vascular system in Asteraceae flower heads. We imaged heads of eight species using synchrotron‐based X‐ray micro‐computed tomography and applied ...
Andrew Owens, Teng Zhang, Philmo Gu, Jeremy Hart, Jarvis Stobbs, Mikolaj Cieslak, Paula Elomaa, Przemyslaw Prusinkiewicz   +7 more
wiley   +1 more source

Some Inequalities for the Triangle Involving Fibonacci Numbers

, 2004
In this note classical inequalities and Fibonacci numbers are used to obtain some miscellaneous inequalities involving the elements of a ...
Díaz-Barrero, José Luis
core  

An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the natural sciences to the physical sciences, and from technical education to fine arts education.
K. M. Abirami, Narayanan Veena, R. Srikanth, P. Dhanasekaran, Shih Pin Chen   +4 more
wiley   +1 more source

Some conjectures concerning sums of odd powers of Fibonacci and Lucas numbers

, 2009
This paper contains observations, conjectures and open questions concerning two finite sums that involve Fibonacci and Lucas numbers. Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...
Melham, R
core  

Symmetric functions of the k-Fibonacci and k-Lucas numbers [PDF]

, 2020
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined in this paper, we give some new generating functions for k-
Araci, Serkan, Boussayoud, Ali, Kerada, Mohamed, Acikgoz, Mehmet   +3 more
core   +1 more source

Provando o Compêndio de Hoggatt das Identidades de Fibonacci e Lucas

CQD Revista Eletrônica Paulista de Matemática
Este trabalho tem como objetivo apresentar demonstrações completas para as identidades envolvendo as sequências de Fibonacci e de Lucas listadas por Hoggatt no capítulo 10 de Fibonacci and Lucas Numbers.
Danilo Braga Lopes, Arthur Martins, Lucas Antonio Caritá   +2 more
doaj   +1 more source

On some series involving the binomial coefficients $binom{3n}{n}$ [PDF]

Notes on Number Theory and Discrete Mathematics
Using a simple transformation, we obtain much simpler forms for some series involving binomial coefficients $binom{3n}{n}$ derived by Necdet Batir. New evaluations are given and connections with Fibonacci numbers and the golden ratio are established ...
Kunle Adegoke, Robert Frontczak, Taras Goy   +2 more
doaj   +1 more source

Numerical Solution of Two‐Dimensional Nonlinear Unsteady Advection‐Diffusion‐Reaction Equations with Variable Coefficients

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
The advection‐diffusion‐reaction (ADR) equation is a fundamental mathematical model used to describe various processes in many different areas of science and engineering. Due to wide applicability of the ADR equation, finding accurate solution is very important to better understand a physical phenomenon represented by the equation.
Endalew Getnet Tsega, Saranya Shekar
wiley   +1 more source