Results 61 to 70 of about 1,634,732 (135)

On the combined Jacobsthal-Padovan generalized quaternions [PDF]

, 2022
In this article, we examine the combined Jacobsthal-Padovan (CJP) generalized quaternions with four special cases: Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan and modified Jacobsthal-Padovan generalized quaternions.
İşbilir, Zehra, Gürses, Nurten, Nurten Gürses, Zehra İşbilir   +3 more
core   +1 more source

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

Engenharia didática como instrumento metodológico no estudo e no ensino da Sequência de Jacobsthal [PDF]

, 2018
Resumo: O trabalho em tela tem por finalidade tecer discussões sobre alguns modelos de generalização e extensão da Sequência de Jacobsthal.
Souza, Thamires Silva Aquino de, Vieira Alves, Francisco Regis   +1 more
core   +1 more source

Some Special Identities for Jacobsthal and Jacobsthal-Lucas Generalized Octonions

, 2022
Summary: We study on Jacobsthal and Jacobsthal-Lucas generalized octonions over the algebra \(\mathbb{O}(a, b, c)\) where \(a\), \(b\) and \(c\) are real numbers. We present Binet formulas for these types of octonions.
Mert, Tuğba, Tokeşer, Umit, Bilgici, Goksal, Unal, Zafer   +3 more
core   +1 more source

On the Lagrange Interpolations of the Jacobsthal and Jacobsthal-Lucas Sequences

Journal of Universal Mathematics
This study explores the formation of polynomials of at most degree $n$ using the first $n+1$ terms of the Jacobsthal and Jacobsthal-Lucas sequences through Lagrange interpolation. The paper provides a detailed examination of the recurrence relations and various identities associated with the Jacobsthal and Jacobsthal-Lucas Lagrange Interpolation ...
openaire   +4 more sources

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

Matrix representations of the q-Jacobsthal numbers [PDF]

, 2013
In this paper, we consider a q-Jacobsthal sequence {Jq,n},with initial conditions Jq0 = 0 and Jq1 = l. Then give a generating matrix for the terms of sequence {Jq,kn} for a positive integer k.With the aid of this matrix, we derive some new identities for
Cerda Morales, Gamaliel
core   +1 more source

A New Generalization of Jacobsthal Lucas Numbers (Bi-Periodic Jacobsthal Lucas Sequence)

Journal of Advances in Mathematics and Computer Science, 2020
In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as   with initial conditions $$\ \hat{c}_{0}=2,\ \hat{c}_{1}=a.$$ The Binet formula as well as the generating function for this sequence are given. The convergence property of the consecutive
Uygun, Sukran, Owusu, Evans
openaire   +3 more sources

A New Family of k-Quasi Morgan-Voyce Sequences

Journal of Advanced Engineering and Computation
In this study, we define the kQuasi Morgan-Voyce and k-Quasi MorganVoyce-Lucas sequences, and some terms of these sequences are given. We introduce the closed-form formulas that give the terms of these sequences.
Hakan Akkuş, Engin Özkan
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