Results 91 to 100 of about 1,668,226 (212)

Generalized fibonacci and k-Pell matrix sequences [PDF]

, 2019
In the present article first and foremost we define generalized Fibonacci sequence and k-Pell sequence. After that by using these sequences we delineate generalized Fibonacci matrix sequence and k-Pell matrix sequence.
Rathore, G. P. S., Badshah, V. H., Catarino, Paula, Wani, Arfat Ahmad   +3 more
core   +1 more source

Bicomplex k-Pell Quaternions [PDF]

, 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 q-Pell sequence spaces: A study of operator ideals and geometric properties

Kuwait Journal of Science
The matrix \( \mathcal{P}(q) = \{\Psi_{\lambda \mu}(q)\}_{\lambda, \mu \in \mathbb{N}} \), called the \( q \)-Pell matrix, with elements determined by \[ \mathcal{P}(q) = \begin{cases} \dfrac{2~q^{\mu-1}~\Psi{_\mu(q)}}{\Psi{_{\lambda+1}(q)}+\Psi{_ ...
Shiva Shah, Bipan Hazarika
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

On the period of Pell-Narayana sequence in some groups [PDF]

, 2023
In this paper, the Pell-Narayana sequence modulo m is studied. The paper outlines the definition of Pell-Narayana numbers and some of their combinatorial links with Eulerian, Catalan and Delannoy numbers and other special functions.
Özkan, Engin, Kuloğlu, Bahar, Marin, Marin   +2 more
core  

On the Balancing-bilinear system of difference equations: solutions via some number sequences and global stability

Miskolc Mathematical Notes
In the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
doaj   +1 more source

On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]

Mathematica Bohemica
We consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis, Gersica Freitas, Alessandra Kreutz, Elaine Silva   +3 more
doaj   +1 more source

A Hybrid Matrix-Based Cryptographic Framework Using Multiple Linear Recurrence Sequences

Mathematics
In this study, we propose a matrix-based transformation framework constructed from special integer sequences, including Fibonacci, Lucas, Pell, and Jacobsthal numbers.
Sukran Uygun
doaj   +1 more source

Complex Dynamics of Pell Sequence

International Journal of Computer Applications, 2010
Binet formula for Pell sequence is viewed as a function of complex variable. In this paper the study of attracting and repelling fixed points of Pell sequence is presented with the complex dynamics resulting in the escape time images. A study of orbits of the Binet type formula is presented in the paper.
Rajeshri Rana, Yashwant S Chauhan, Ashish Negi   +2 more
openaire   +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