Results 11 to 20 of about 1,051 (219)
Fibonacci or Lucas numbers that are products of two Lucas numbers or two Fibonacci numbers [PDF]
, 2023 This contribution presents all possible solutions to the Diophantine equations $F_k=L_mL_n$ and $L_k=F_mF_n$. To be clear, Fibonacci numbers that are the product of two arbitrary Lucas numbers and Lucas numbers that are the product of two arbitrary Fibonacci numbers are determined herein.
Daşdemir, Ahmet, Emin, Ahmet
openaire +3 more sources
Fermat $k$-Fibonacci and $k$-Lucas numbers [PDF]
Mathematica Bohemica, 2020 Using the lower bound of linear forms in logarithms of Matveev and the theory of continued fractions by means of a variation of a result of Dujella and Pethő, we find all $k$-Fibonacci and $k$-Lucas numbers which are Fermat numbers.
Jhon J. Bravo, Jose L. Herrera
doaj +3 more sources
A Study on Dual Hyperbolic Fibonacci and Lucas Numbers [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu +3 more
doaj +2 more sources
Gaussian Fibonacci And Gaussian Lucas p-Numbers.
Ars Comb., 2017 In this paper we define and study the Gaussian Fibonacci and Gaussian Lucas p-numbers. We give generating functions, Binet formulas, explicit formulas, matrix representations and sums of Gaussian Fibonacci p-numbers by matrix methods . For p = 1 these Gaussian Fibonacci and Gaussian Lucas p-numbers reduce to the Gaussian Fibonacci and the Gaussian ...
Aşçı, Mustafa, Gürel, Eşref
openaire +7 more sources
Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
Mathematics, 2022 Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
doaj +2 more sources
Fibonacci Cartan and Lucas Cartan numbers
Open MathematicsThis study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj +2 more sources
Global warming and obesity: External heat exposure as a modulator of energy balance. [PDF]
FASEB BioadvCore body temperature regulation can significantly influence metabolic processes to maintain energy balance. For example, geographic and environmental factors (global warming) can affect obesity rates and can be tracked along latitudinal boundaries.
Muhammad I +3 more
europepmc +2 more sources
Generalized sums of Fibonacci and Lucas Numbers [PDF]
, 2021 Here we are proposing generalized sums for Fibonacci and Lucas numbers. In the case of the Fibonacci sequence, the generalized sum contains four Fibonacci numbers.
Sparavigna, Amelia Carolina +1 more
core +1 more source
Some identities for generalized Fibonacci and Lucas numbers
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper we study one parameter generalization of the Fibonacci numbers, Lucas numbers which generalizes the Jacobsthal numbers, Jacobsthal–Lucas numbers simultaneously. We present some their properties and interpretations also in graphs.
Anetta Szynal-Liana +2 more
doaj +1 more source
An Alternating Sum of Fibonacci and Lucas Numbers of Order k
Mathematics, 2020 During the last decade, many researchers have focused on proving identities that reveal the relation between Fibonacci and Lucas numbers. Very recently, one of these identities has been generalized to the case of Fibonacci and Lucas numbers of order k ...
Spiros D. Dafnis +2 more
doaj +1 more source