Results 71 to 80 of about 185 (126)

On the Pseudo-Fibonacci and Pseudo-Lucas Quaternions

Electronic Journal of Mathematical Analysis and Applications
Summary: There are a lot of quaternion numbers that are related to the Fibonacci and Lucas numbers or their generalizations have been described and extensively explored. The coefficients of these quaternions have been chosen from terms of Fibonacci and Lucas numbers.
Dişkaya, Orhan, Menken, Hamza
openaire   +2 more sources

Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions.
Ahmet Daşdemir
doaj  

Inertial Measurement of Head Tilt in Rodents: Principles and Applications to Vestibular Research. [PDF]

Sensors (Basel), 2021
Fayat R, Delgado Betancourt V, Goyallon T, Petremann M, Liaudet P, Descossy V, Reveret L, Dugué GP.   +7 more
europepmc   +1 more source

q-Fibonacci bicomplex quaternions

, 2021
In the paper, we define the $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions, respectively. Then, we give some algebraic properties of $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions.
openaire   +4 more sources

On Gaussian Pell quaternion polynomials

, 2022
Fibonacci dizisi, sayı dizileri arasında en çok çalışılan tam sayı dizisidir. Diğer yandan Pell sayı dizisi ve bu sayı dizisinin genelleştirilmeleri de pek çok yazar tarafından çalışılmıştır.
Duzcu, Mevlüt
core  

Bi-periodic Fibonacci quaternions

, 2019
Bu çalışmada gerekli temel tanımlar verildikten sonra, iki periyodik Fibonacci ve Lucas kuaterniyon dizileri tanıtılmıştır. Daha sonra iki periyodik Fibonacci ve Lucas kuaterniyon dizilerinin üreteç fonksiyonları ve genel terimini içeren formülleri elde ...
Uluyol, Sevgi
core  

On quaternion algebras that split over specific quadratic number fields

, 2022
Let d and m be two distinct squarefree integers and (9K the ring of integers v/ of the quadratic field K = Q( d). Denote by HK(a, m) a quaternion algebra over K, where a E (9K.
Acciaro, V, Zekhnini, A, Savin, D, Taous, M   +3 more
core  

Quaternions via generalized Fibonacci and Lucas number components [PDF]

, 2019
In this paper, we derive some combinatorial properties of generalized Fibonacci quaternion Q(n) and generalized Lucas quaternion K-n, where the components of Q(n) and K-n are generalized Fibonacci number U-n and generalized Lucas number V-n, respectively.
Bitim, Bahar Demirtürk, Topal, Nazım
core  

Complex Fibonacci P-numbers and Fibonacci-P quaternions

, 2014
Bu çalışmada ilk olarak kompleks Fibonacci sayıları p+1. mertebeden indirgeme bağıntıları kullanılarak kompleks Fibonacci p-sayılarına genelleştirildi. Ayrıca kompleks Fibonacci p-sayıları ile ilgili bazı özellikler verildi ve başlangıç koşulları Lucas p-
Yalçın, Nazmiye Feyza
core  

Circular-hyperbolic Fibonacci quaternions [PDF]

Notes on Number Theory and Discrete Mathematics, 2020
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