Results 151 to 160 of about 66,564 (179)

Overview of Six Number/Polynomial Sequences Defined by Quadratic Recurrence Relations

Symmetry
Six well-known sequences (Fibonacci and Lucas numbers, Pell and Pell–Lucas polynomials, and Chebyshev polynomials) are characterized by quadratic linear recurrence relations. They are unified and reviewed under a common framework.
Yujie Kang, Marta Na Chen, Wenchang Chu
semanticscholar   +1 more source

Horadam-Lagrange Interpolation Polynomials: Construction, Recurrence Relations, and Connections to Special Number Sequences

Electronic Journal of Applied Mathematics
This study investigates the construction of polynomials of at most degree \(n\) using the first \(n+1\) terms of the Horadam sequence through Lagrange interpolation.
Orhan Dişkaya
semanticscholar   +1 more source

On Diophantine triples from Pell and Pell-Lucas numbers

Atti della Accademia delle scienze di Torino. Classe di scienze fisiche matematiche e naturali., 2009
Proucavaju se Diofantske trojke iz Pellovih i iz Pell-Lucasevih ...
Čerin, Zvonko, Gianella, Gian Mario
openaire   +2 more sources

On the problem of pillai with pell numbers, pell-lucas numbers and powers of 3

International Journal of Number Theory, 2022
Bilizimbéyé Edjeou, Bernadette Faye
semanticscholar   +1 more source

Hessenberg matrices and the Pell-Lucas and Jacobsthal numbers

2015
There are many relationships between the number theory and matrix theory. In this work, we defined two upper Hessenberg Matrices and then we showed that the permanents of these Hessenberg matrices are Pell-Lucas and Jacobsthal numbers. © 2015 Academic Publications, Ltd.
Aktaş, İbrahim, Köse, Hasan
openaire   +1 more source

Pell and Pell-Lucas Numbers Associated with Brocard-Ramanujan Equation

2017
In this paper, the diophantine equations of the form $A_{n_{1}}A_{n_{2}}\cdots A_{n_{k}}\pm 1=B_{m}^{2}$ where $(A_{n})_{n\geq 0}$ and $(B_{m})_{m\geq 0}$ are either the Pell sequence or Pell-Lucas sequence are solved by applying the Primitive Divisor Theorem. This is another version of Brocard-Ramanujan equation.
TAŞÇI, Dursun, SEVGİ, Emre
openaire   +3 more sources

On k-circulant matrices involving the Pell–Lucas (and the modified Pell) numbers

Computational and Applied Mathematics, 2021
Biljana Radičić
semanticscholar   +1 more source

On some identities and generating functions for Pell-Lucas numbers

Online Journal of Analytic Combinatorics, 2017
Generating functions for Pell and Pell-Lucas numbers are obtained. Applications are given for some results recently obtained by Mansour [Mansour12]; by using an alternative approach that considers the action of the operator \(\delta_{e_1 e_2}^k\) to the series \(\sum_{j=0}^\infty a_j (e_1 z)^j\).
openaire   +2 more sources

Integral Aspects of the Generalized Pell and Pell-Lucas Numbers

International Journal of Mathematics and Computer Science
In this paper, we propose integral representations of the one-parameter k-Pell and k-Pell-Lucas numbers. Our results are also deduced with the Pell and Pell-Lucas numbers.
Achariya Nilsrakoo, Weerayuth Nilsrakoo
openaire   +1 more source

On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers

Axioms, 2023
Elen Spreafico, Paula Catarino, Paulo Vasco   +2 more
exaly