[PDF][PDF] On quaternions with higher order Jacobsthal numbers components

E Özkan, M Uysal - Gazi University Journal of Science, 2023 - dergipark.org.tr
In this study, we present higher order Jacobsthal numbers. Then we define higher order
Jacobsthal quaternions by using higher order Jacobsthal numbers. We give the concept of …

Higher-order jacobsthal–lucas quaternions

M Uysal, E Özkan - Axioms, 2022 - mdpi.com
In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-
order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal …

Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials

E Özkan, M Uysal, B Kuloğlu - Asian-European Journal of …, 2022 - World Scientific
We introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the
Hankel transform to the Catalan transforms of these numbers. We calculate determinants of …

[PDF][PDF] Notes on Generalization of Vieta-Pell and Vieta-Pell Lucas polynomials

S Uygun, H Karatas, H Aytar - International Journal of …, 2020 - researchgate.net
In this paper, we define a new generalization for Pell and Pell Lucas, and modified Pell
sequences called generalized Vieta-Pell and Vieta-Pell-Lucas polynomial sequences. The …

Hyperbolic functions obtained from -Jacobsthal sequences

B Kuloğlu, E Özkan - Asian-European Journal of Mathematics, 2022 - World Scientific
In this paper, an expansion of the classical hyperbolic functions is presented and studied.
Also, many features of the k-Jacobsthal hyperbolic functions are given. Finally, we …

Hyperbolic functions obtained from k-Pell sequences

B Kuloğlu, E Özkan - Afrika Matematika, 2024 - Springer
Hyperbolic functions obtained from $${\varvec{k}}$$ -Pell sequences | Afrika Matematika Skip to
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[HTML][HTML] 广义高斯Fibonacci 和Lucas 多项式及其恒等式

杨加玲, 杨标桂 - Pure Mathematics, 2023 - hanspub.org
本文给出了广义高斯斐波那契多项式和广义高斯卢卡斯多项式的定义. 我们研究了它们的一些的
性质, 通过它们的递推关系和性质及矩阵表示, 我们也得到了它们之间的一些恒等式. 此外 …

On Some Properties of Bihyperbolic Numbers of The Lucas Type

FT Aydın - Communications in Advanced Mathematical Sciences - dergipark.org.tr
To date, many authors in the literature have worked on special arrays in various
computational systems. In this article, Lucas type bihyperbolic numbers were defined and …

[PDF][PDF] Higher-Order Jacobsthal–Lucas Quaternions. Axioms 2022, 11, 671

M Uysal, E Özkan - 2022 - academia.edu
In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of
higherorder Jacobsthal–Lucas numbers. We examine some identities of higher-order …

[PDF][PDF] On a Study of Binomial Form to the New (s, t)-Jacobsthal Sequence

AA Wani, S Halici, TA Tarray - Acta Universitatis Apulensis, 2019 - auajournal.uab.ro
Acta Universitatis Apulensis ISSN: 1582-5329 http://www.uab.ro/auajournal/ No. 58/2019 pp.
13-33 doi: 10.17114/j.aua.2019.58.02 Page 1 Acta Universitatis Apulensis ISSN: 1582-5329 …