Results 1 to 10 of about 114 (94)

Eventually monotonic solutions of the generalized Fibonacci equations

Open Mathematics
The purpose of this work is, for the first time, to introduce some results about the eventually monotonic solutions of the generalized Fibonacci equations. In addition, some concrete examples are given to illustrate the theoretical results.
Özban Ahmet Yaşar, Özdemir Halim
doaj   +1 more source

Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This 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   +1 more source

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip

Forum of Mathematics, Sigma
We consider a new family $(\mathcal {T}_n)_{n\geq 1}$ of aperiodic sets of Wang tiles and we describe the dynamical properties of the set $\Omega _n$ of valid configurations $\mathbb {Z}^2\to \mathcal {T}_n$ . The tiles can be defined
Sébastien Labbé
doaj   +1 more source

Metallic mean Wang tiles I: self-similarity, aperiodicity and minimality

Forum of Mathematics, Sigma
For every positive integer n, we introduce a set ${\mathcal {T}}_n$ made of $(n+3)^2$ Wang tiles (unit squares with labeled edges). We represent a tiling by translates of these tiles as a configuration $\mathbb {Z}^2\to {\mathcal {T}}_n$
Sébastien Labbé
doaj   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Periodic harmonic functions on lattices and points count in positive characteristic

Open Mathematics, 2009
Zaidenberg Mikhail
doaj   +1 more source

Some alternating sums of Lucas numbers

Open Mathematics, 2005
Čerin Zvonko
doaj   +1 more source

Fibonacci numbers which are concatenations of two repdigits

Quaestiones Mathematicae, 2021
Adel Alahmadi, Alaa Altassan, Florian Luca   +2 more
exaly  

Repdigits base b as products of two Lucas numbers

Quaestiones Mathematicae, 2021
Fatih Erduvan, Refik Keskin, Zafer Siar   +2 more
exaly