Results 121 to 130 of about 916 (205)

Novel encryption for color images using fractional-order hyperchaotic system. [PDF]

J Ambient Intell Humaniz Comput, 2022
Hosny KM, Kamal ST, Darwish MM.
europepmc   +1 more source

A MATRIX REPRESENTATION OF A GENERALIZED FIBONACCI POLYNOMIAL

Journal of New Theory, 2017
The Fibonacci polynomial Fn(x) defined recurrently by Fn+1(x) = xFn(x)+Fn−1(x), with F0(x) = 0, F1(0) = 1, for n ≥ 1 is the topic of wide interest for many years. In this article, generalized Fibonacci polynomials Fbn+1(x) and Lbn+1(x) are introduced and
A. D. Godase, M. B. Dhakne
doaj  

Three closed forms for convolved Fibonacci numbers

Results in Nonlinear Analysis, 2020
In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three
Feng Qi
doaj  

Derivations and Identitites for Fibonacci and Lucas Polynomials

The Fibonacci Quarterly, 2013
We introduce the notion of Fibonacci and Lucas derivations of the polynomial algebras and prove that any element of kernel of the derivations defines a polynomial identity for the Fibonacci and Lucas polynomials. Also, we prove that any polynomial identity for Appel polynomial yields a polynomial identity for the Fibonacci and Lucas polynomials and ...
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Diophantine equations in separated variables and polynomial power sums. [PDF]

Mon Hefte Math, 2021
Fuchs C, Heintze S.
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Physical Unclonable Function Based on the Internal State Transitions of a Fibonacci Ring Oscillator. [PDF]

Sensors (Basel), 2021
Matuszewski Ł, Nikonowicz J, Kubczak P, Woźniak W.   +3 more
europepmc   +1 more source

Numerical Results on the Zeros of Generalized Fibonacci Polynomials [PDF]

, 1997
We study some fundamental properties of generalized Fibonacci polynomials, by using the properties and characteristics of classical Fibonacci polynomials as a motivation.
Ricci, P. E., He, Matthew, Simon, D. S.
core  

Encouraging research on recursive thinking through the lens of a model of the spread of contagious diseases. [PDF]

ZDM, 2022
Sandefur J, Manaster AB.
europepmc   +1 more source

Lonely Points in Simplices. [PDF]

Discrete Comput Geom, 2023
Jaroschek M, Kauers M, Kovács L.
europepmc   +1 more source

Degenerate Bernoulli–Fibonacci and Euler–Fibonacci polynomials

Complex Analysis and its Synergies
In this article, we first introduce the degenerate Bernoulli–Fibonacci numbers and degenerate Euler–Fibonacci numbers. Using these definitions, we then define the degenerate Bernoulli–Fibonacci polynomials and degenerate Euler–Fibonacci polynomials and examine their graphs for several initial values of λ.
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