PADOVAN HYBRID QUATERNIONS AND SOME PROPERTIES-Reference-Cited by-同舟云学术

PADOVAN HYBRID QUATERNIONS AND SOME PROPERTIES

Published:2022-03-30 Issue:1 Volume:22 Page:121-132
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

UYSAL MİNE¹,ÖZKAN ENGİN²

Affiliation:

1. 1Erzincan Binali Yıldırım University, Graduate School of Natural and Applied Sciences, 24100 Erzincan, Turkey

2. 2Erzincan Binali Yıldırım University, Department of Mathematics, 24100 Erzincan, Turkey.

Abstract

We define Padovan hybrid quaternions by using Padovan hybrid numbers and Padovan quaternion. We give the basic operation properties of Padovan hybrid quaternion numbers. We give some properties and identities such as the Binet formula, sum formula, the matrix representation, characteristic equation, norm, characteristic and generating function for these quaternions.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference28 articles.

1. Hoggatt, V.E. Jr., Fibonacci and Lucas Numbers, MA: Houghton Mifflin, 1969.

2. Koshy, T., Fibonacci and Lucas numbers with applications, John Wiley & Sons, 2014.

3. Özkan, E., Applied Mathematics and Computation, 144(2-3), 517, 2003.

4. Çelik, S., Durukan, İ., Özkan, E., Chaos Solitons & Fractals, 150, 111173, 2021.

5. Özkan, E., Taştan M., Aydogdu, A., Notes on Number Theory and Discrete Mathematics, 24(3), 47, 2018.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES;Journal of Science and Arts;2023-09-30

2. On Hybrid numbers with Gaussian Mersenne Coefficients;Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2023-03-31

3. On Hybrid Numbers with Gaussian Leonardo Coefficients;Mathematics;2023-03-22

4. Generalized k-Order Fibonacci Hybrid Quaternions;Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2022-08-09