A study on hyperbolic numbers with generalized Jacobsthal numbers components

Y Soykan, E Taşdemir - International Journal of Nonlinear …, 2022 - ijnaa.semnan.ac.ir
In this paper, we introduce the generalized hyperbolic Jacobsthal numbers. As special
cases, we deal with hyperbolic Jacobsthal and hyperbolic Jacobsthal-Lucas numbers. We …

Some Properties of Generalized Fibonacci Numbers: Identities, Recurrence Properties and Closed Forms of the Sum Formulas∑ nk= 0 xkWmk+ j

Y Soykan - Archives of Current Research International, 2021 - go7publish.com
In this paper, closed forms of the summation formulas∑ nk= 0 xkWmk+ j for generalized
Fibonacci numbers are presented. As special cases, we give summation formulas of …

Generalized Ernst Numbers

Y Soykan - Asian Journal of Pure and Applied Mathematics, 2022 - jofmath.com
In this paper, we define and investigate the generalized Ernst sequences and we deal with,
in detail, two special cases, namely, Ernst and Ernst-Lucas sequences. We present Binet's …

[PDF][PDF] A study of generalized fourth-order Pell sequences

Y Soykan - Journal of Scientific Research and Reports, 2019 - academia.edu
A Study of Generalized Fourth-Order Pell Sequences Page 1 Journal of Scientific Research &
Reports 25(1-2): 1-18, 2019, Article no.JSRR.52074 ISSN: 2320-0227 A Study of Generalized …

[PDF][PDF] On generalized third-order Jacobsthal numbers

EE Polatlı, Y Soykan - Asian Research Journal of Mathematics, 2021 - researchgate.net
In this paper, we investigate the generalized third order Jacobsthal sequences and we deal
with, in detail, four special cases, namely, third order Jacobsthal, third order Jacobsthal …

Matrix structure of Jacobsthal numbers

AH Ganie, MM AlBaidani - Journal of Function Spaces, 2021 - Wiley Online Library
Matrix Structure of Jacobsthal Numbers Page 1 Research Article Matrix Structure of
Jacobsthal Numbers Abdul Hamid Ganie 1 and Mashael M. AlBaidani 2 1Basic Science …

On generalized 2-primes numbers

Y Soykan - Asian Journal of Advanced Research and …, 2020 - article.publish4promo.com
In this paper, we introduce the generalized 2-primes sequences and we deal with, in detail,
three special cases which we call them 2-primes, Lucas 2-primes and modified 2-primes …

Generalized Fibonacci Numbers with Indices in Arithmetic Progression and Sum of Their Squares: The Sum Formula∑ nk= 0 xkW2mk+ j

Y Soykan - Journal of Advances in Mathematics and Computer …, 2021 - go7publish.com
In this paper, closed forms of the sum formulas∑ nk= 0 xkWmk 2+ j for generalized
Fibonacci numbers are presented. As special cases, we give sum formulas of Fibonacci …

[PDF][PDF] A study on generalized fourth-order jacobsthal sequences

Y Soykan, EE Polatlı - International Journal of Advances in Applied …, 2022 - ijaamm.com
In this paper, we investigate the generalized fourth order Jacobsthal sequences and we deal
with, in detail, six special cases which we call them as fourth order Jacobsthal, fourth order …

On dual hyperbolic numbers with generalized Jacobsthal numbers components

Y Soykan, E Taşdemir, İ Okumuş - Indian Journal of Pure and Applied …, 2023 - Springer
In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special
cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-Lucas …