Simson identity of generalized m-step Fibonacci numbers

Y Soykan - arXiv preprint arXiv:1903.01313, 2019 - arxiv.org
One of the best known and oldest identities for the Fibonacci sequence $ F_n $ is $ F_ {n+
1} F_ {n-1}-F_ {n}^ 2=(-1)^ n $ which was derived first by R. Simson in 1753 and it is now …

[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 …

[PDF][PDF] Generalized Tribonacci numbers: summing formulas

Y Soykan - Int. J. Adv. Appl. Math. Mech, 2020 - ijaamm.com
Generalized Tribonacci Numbers: Summing Formulas Page 1 IJAAMM Int. J. Adv. Appl.
Math. and Mech. 7(3) (2020) 57 – 76 (ISSN: 2347-2529) Journal homepage: www.ijaamm.com …

[PDF][PDF] On generalized Narayana numbers

Y Soykan - Int. J. Adv. Appl. Math. and Mech, 2020 - ijaamm.com
In this paper, we introduce and investigate the generalized Narayana sequences and we
deal with, in detail, two special cases besides Narayana sequence which we call them …

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 …

Properties of Generalized (r, s, t, u)-Numbers

Y Soykan - Earthline Journal of Mathematical Sciences, 2021 - earthlinepublishers.com
In this paper, we investigate the generalized (r, s, t, u) sequence and we deal with, in detail,
three special cases which we call them (r, s, t, u), Lucas (r, s, t, u) and modified (r, s, t, u) …

Binomial transform of the generalized pentanacci sequence

Y Soykan - Asian Research Journal of Current Science, 2021 - jofscience.com
Binomial Transform of the Generalized Pentanacci Sequence Abstract 1 Introduction and
Preliminaries Page 1 Asian Research Journal of Current Science 3(1): 209-231, 2021; Article …

[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 …