[PDF][PDF] Matrix sequences of tribonacci and tribonacci-lucas numbers

Y Soykan - arXiv preprint arXiv:1809.07809, 2018 - arxiv.org
arXiv:1809.07809v1 [math.NT] 20 Sep 2018 Page 1 arXiv:1809.07809v1 [math.NT] 20 Sep
2018 Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers YÜKSEL SOYKAN …

Linear summing formulas of generalized Pentanacci and Gaussian generalized Pentanacci numbers

Y Soykan - Journal of Advances in Mathematics and …, 2019 - archive.jibiology.com
In this paper, we present linear summation formulas for generalized Pentanacci numbers
and generalized Gaussian Pentanacci numbers. Also, as special cases, we give linear …

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] Matrix sequences of tetranacci and tetranacci-lucas numbers

Y Soykan - 2019 - preprints.org
Matrix Sequences of Tetranacci and Tetranacci-Lucas Numbers Page 1 Matrix Sequences of
Tetranacci and Tetranacci-Lucas Numbers Yüksel Soykan Department of Mathematics, Art …

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 …

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 …

[PDF][PDF] Tribonacci and Tribonacci-Lucas matrix sequences with negative subscripts

Y Soykan - arXiv preprint arXiv:1809.09507, 2018 - arxiv.org
arXiv:1809.09507v1 [math.NT] 24 Sep 2018 Page 1 arXiv:1809.09507v1 [math.NT] 24 Sep
2018 Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts YÜKSEL …