A NOTE FOR THE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS

A Özkoç, A Porsuk - Konuralp journal of mathematics, 2017 - dergipark.org.tr
In this article, we have introduced the (p,q)- Fibonacci and Lucas quaternion polynomials
which are based on the (p,q)- Fibonacci and Lucas polynomials respectively. Some new …

On the Quadra Lucas-Jacobsthal Numbers.

C Kızılateş - … Science & Engineering Journal/Karaelmas Fen …, 2017 - search.ebscohost.com
On the Quadra Lucas-Jacobsthal Numbers Page 1 Karaelmas Fen ve Müh. Derg. 7(2):619-621,
2017 Karaelmas Fen ve Mühendislik Dergisi Journal home page: http://fbd.beun.edu.tr …

[PDF][PDF] A new quadra polynomial sequence

E Sevgi - Notes on Number Theory and Discrete Mathematics, 2024 - nntdm.net
In this paper, we define a new quadra polynomial sequence by using Ozkoç numbers as the
coefficients. Then, we derive some properties for this polynomial sequence by the help of …

[PDF][PDF] On some properties of particular Tetranacci sequences

SHJ Petroudi, M Pirouz, A Ozkoc - J. Int. Math. Virtual Inst, 2020 - imvibl.org
In this paper, a particular Tetranacci sequence, namely Pell-Padovan Tetranacci sequence
is introduced. The Binet-like-formula, partial sum, generating function related to this …

On the binomial transforms of the Horadam quaternion sequences

F Kaplan, A Özkoç Öztürk - Mathematical Methods in the …, 2022 - Wiley Online Library
The main object of the present paper is to consider the binomial transforms for Horadam
quaternion sequences. We gave new formulas for recurrence relation, generating function …

Some remarks regarding the Fibonacci and Lucas octonion polynomials

AÖ Öztürk, A Porsuk - Universal Journal of Mathematics and …, 2018 - dergipark.org.tr
We investigate the $(p, q)-$ Fibonacci and Lucas octonion polynomials. The main purpose
of this paper is using of some properties of the $(p, q)-$ Fibonacci and Lucas polynomials …

Some algebraic identities on quadra Fibona-Pell integer sequence

A Özkoç - Advances in Difference Equations, 2015 - Springer
In this work, we define a quadra Fibona-Pell integer sequence W n= 3 W n− 1− 3 W n− 3− W
n− 4 W_n=3W_n-1-3W_n-3-W_n-4 for n≥ 4 n\geq4 with initial values W 0= W 1= 0 …

Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion

A Özkoç, E Gündüz - Universal Journal of Mathematics and …, 2022 - dergipark.org.tr
The main object of the study is to consider the binomial transform for quadra Fibona-Pell
sequence and quadra Fibona-Pell quaternion. In the paper, which consists of two parts in …

[PDF][PDF] On the Quinary Fibonacci-Padovan Sequences

O DISkaya, H MENKEN - creative-mathematics.cunbm.utcluj …
In this paper, we consider the Fibonacci and Padovan sequences. We introduce the quinary
Fibonacci-Padovan sequences whose compounds are the Fibonacci and Padovan …

[PDF][PDF] SOME ALGEBRAIC RELATIONS ON AN INTEGER SEQUENCE WITH FIXED PARAMETER

AO Oztürk, A Tekcan - auajournal.uab.ro
2. Main Results. Integer sequences (such as Fibonacci numbers, Lucas numbers, Pell
numbers, Pell–Lucas numbers and balancing numbers) with two or more than two …