Results 91 to 100 of about 69,814 (147)

On Fibonacci and Lucas Quasi-quaternions: Theoretical insights and graphical representations

Open Journal of Mathematical Sciences
In this paper, we introduce Fibonacci and Lucas quasi-quaternions by combining classical number sequences with the structure of quasi-quaternion algebra.
M. Uysal, B. Kuloǧlu, E. Özkan
semanticscholar   +1 more source

Circular-hyperbolic Fibonacci quaternions [PDF]

Notes on Number Theory and Discrete Mathematics, 2020
openaire   +2 more sources

Bicomplex k-Fibonacci quaternions

, 2018
In this paper, bicomplex k-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex k-Fibonacci quaternions which are connected with bicomplex numbers and k-Fibonacci numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's identity, Binet's formula, Cassini's identity, Catalan's identity for these ...
openaire   +2 more sources

ON FIBONACCI AND LUCAS ELLIPTIC QUATERNIONS

Journal of Science and Arts
This paper presents a novel class of quaternions derived from the concept of elliptic quaternions. Specifically, we establish the Fibonacci and Lucas elliptic quaternions, serving as a natural extension of the Fibonacci and Lucas quaternions. Our study delves into the fundamental properties of these sequences, including recurrence relations, generating
ELIF TAN, TUĞBA YAMAN, ISMAIL GÖK
openaire   +1 more source

Some conjectures concerning sums of odd powers of Fibonacci and Lucas numbers

, 2009
This paper contains observations, conjectures and open questions concerning two finite sums that involve Fibonacci and Lucas numbers. Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...
Melham, R
core  

3-D Reconstruction in Canonical Co-Ordinate Space From Arbitrarily Oriented 2-D Images. [PDF]

IEEE Trans Med Imaging, 2018
Hou B, Khanal B, Alansary A, McDonagh S, Davidson A, Rutherford M, Hajnal JV, Rueckert D, Glocker B, Kainz B.   +9 more
europepmc   +1 more source

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  

A molecular-structure hypothesis. [PDF]

Int J Mol Sci, 2010
Boeyens JC.
europepmc   +1 more source

The structure lacuna. [PDF]

Int J Mol Sci, 2012
Boeyens JCA, Levendis DC.
europepmc   +1 more source

Kompleks fibonacci p-sayıları ve fibonacci-p kuaterniyonları

, 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-
NAZMİYE FEYZA YALÇIN
core