Results 101 to 110 of about 3,260,729 (219)

Bicomplex k-Pell Quaternions

, 2019
The aim of this work is to consider the bicomplex k-Pell quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions.
Catarino, Paula
core   +1 more source

On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0

Dera Natung Government College Research Journal
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj   +1 more source

Relations Established Between Hypergeometric Functions and Some Special Number Sequences

Axioms
In this paper, we establish new hypergeometric representations for two classical integer sequences, namely the Pell and Jacobsthal sequences. Motivated by Dilcher’s hypergeometric formulations of the Fibonacci sequence, we extend this framework to other ...
Sukran Uygun, Berna Aksu, Hulya Aytar
doaj   +1 more source

Determinants and Inverses of Ppoeplitz and Ppankel matrices

Special Matrices, 2018
In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
doaj   +1 more source

On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences

Mathematical Sciences and Applications E-Notes, 2019
In this paper, we consider Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas sequences. We introduce the quadra Fibona-Pell,Fibona-Jacobsthal and Pell-Jacobsthal and the hexa Fibona-Pell-Jacobsthal sequences whose components are the Fibonacci, Pell and Jacobsthal sequences.
Hamza MENKEN, Orhan DİŞKAYA
openaire   +4 more sources

Polynomial generalizations of the Pell sequences and the Fibonacci sequence

, 2015
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence together with formulas for those sequences.
Ivkovic, M, Santos, JPO
core  

Determinant Representations of Sequences: A Survey

Special Matrices, 2014
This is a survey of recent results concerning (integer) matrices whose leading principal minors are well-known sequences such as Fibonacci, Lucas, Jacobsthal and Pell (sub)sequences. There are different ways for constructing such matrices.
Moghaddamfar A. R., Salehy S. Navid, Salehy S. Nima   +2 more
doaj   +1 more source

AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS

We report on an integral representation for the Pell sequence, Pell-Lucas sequence, Balancing sequence and Lucas-Balancing sequence. This integral representation  is based on the generating function  and  the Binet-like formulas of the aforementioned ...
Nguyen Duc Sang, Luu Ba Thang
core   +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

Equations with arithmetic functions of Pell numbers [PDF]

, 2014
Here, we prove some diophantine results about the Euler function of Pell numbers and their Pell-Lucas companion sequence. For example, if the Euler function of the nth Pell number Pn or Pell- Lucas companion number Qn is a power of 2, then n is greater ...
Pantelimon Stănică, Luca, Florian, Stănică, Pantelimon, Florian Luca   +3 more
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