Results 21 to 30 of about 69,814 (147)
SOME PROPERTIES OF BIVARIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS [PDF]
, 2020 In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion polynomials. We present generating function, Binet formula, matrix representation, binomial formulas and some basic identities for the bivariate ...
A. Ozturk, Faruk Kaplan
semanticscholar +2 more sources
A note on certain matrices with h(x) – Fibonacci quaternion polynomials
, 2016 In this paper we consider a g – circulant, right circulant, left circulant and a special kind of a tridiagonal matrices whose entries are h(x) – Fibonacci quaternion polynomials.
P. Catarino
semanticscholar +2 more sources
On generalized Fibonacci quaternion sequences with periodic coefficients: Applications
RAIRO - Theoretical Informatics and ApplicationsThis paper develops a comprehensive theory of r -generalized Fibonacci quaternion sequences with periodic coefficients, extending and unifying the classical theory of Fibonacci quaternion sequences.
R. Bentaher +3 more
semanticscholar +2 more sources
New Properties and Identities for Fibonacci Finite Operator Quaternions
Mathematics, 2022 In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions.
Wei-Shih Du +2 more
exaly +3 more sources
Unrestricted Fibonacci and Lucas quaternions
Fundamental Journal of Mathematics and Applications, 2021 Many quaternion numbers associated with Fibonacci and Lucas numbers or even their generalizations have been defined and widely discussed so far. In all the studies, the coefficients of these quaternions have been selected from consecutive terms of these numbers.
Ahmet DAŞDEMİR, Göksal BİLGİCİ
core +5 more sources
More Identities for Fibonacci and Lucas quaternions [PDF]
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: In this paper, we define the associate matrix as \[ F= \left( \begin{matrix} 1+i+2j+3k & i+j+2k \\ i+j+2k & 1+j+k \end{matrix} \right). \] By the means of the matrix \(F\), we give several identities about Fibonacci and Lucas quaternions by matrix methods.
Irmak, Nurettin
openaire +6 more sources
On Recursive Hyperbolic Fibonacci Quaternions
Communications in Advanced Mathematical Sciences, 2021 Many quaternions with the coefficients selected from special integer sequences such as Fibonacci and Lucas sequences have been investigated by a great number of researchers.
Ahmet Daşdemir
doaj +3 more sources
New families of Fibonacci and Lucas octonions with $$Q-$$integer components
Indian journal of pure and applied mathematics, 2021 A number of families of quaternion and octonion number sequence such as (Fibonacci quaternion, Fibonacci octonion and so forth) have been studied by several authors in many different ways.
C. Kızılateş, E. Polatlı
semanticscholar +2 more sources
On the 2k-step Jordan-Fibonacci sequence
Advances in Difference Equations, 2017 In this paper, we define the 2k-step Jordan-Fibonacci sequence, and then we study the 2k-step Jordan-Fibonacci sequence modulo m. Also, we obtain the cyclic groups from the multiplicative orders of the generating matrix of the 2k-step Jordan-Fibonacci ...
Omur Deveci, Sait Taş, A Kılıçman
doaj +2 more sources
On circulant matrices with Fibonacci quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn literature, there exist many papers that compute determinants and some kinds of norms of circulant matrices involving some well-known number sequences.
Seda Yamaç Akbıyık +3 more
doaj +3 more sources