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Random Fibonacci Words via Clone Schur Functions

open access: yesForum of Mathematics, Sigma
We investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
doaj   +1 more source

Three closed forms for convolved Fibonacci numbers

open access: yesResults 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  

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

open access: yesJ Ambient Intell Humaniz Comput, 2022
Hosny KM, Kamal ST, Darwish MM.
europepmc   +1 more source

A MATRIX REPRESENTATION OF A GENERALIZED FIBONACCI POLYNOMIAL

open access: yesJournal 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  

Lonely Points in Simplices. [PDF]

open access: yesDiscrete Comput Geom, 2023
Jaroschek M, Kauers M, Kovács L.
europepmc   +1 more source

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