Yazar "Şentürk, Gülsüm Yeliz" için listeleme
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Algebraic Construction for Dual Quaternions with GCN
Şentürk, Gülsüm Yeliz; Gürses, Nurten; Yüce, Salim (Bitlis Eren Üniversitesi Rektörlüğü, 2022)In this paper, we explain how dual quaternion theory can extend to dual quaternions with generalized complex number (GCN) components. More specifically, we algebraically examine this new type dual quaternion and give several ... -
A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers
Gürses, Nurten; Şentürk, Gülsüm Yeliz; Yüce, Salim (Yıldız Teknik Üniversitesi, 2022)This paper aims to develop dual-generalized complex Fibonacci and Lucas numbers and obtain recurrence relations. Fibonacci and Lucas’s approach to dual-generalized complex numbers contains dual-complex, hyper-dual and ... -
Construction of dual-generalized complex Fibonacci and Lucas quaternions
Şentürk, Gülsüm Yeliz; Gürses, Nurten; Yüce, Salim (VASYL STEFANYK PRECARPATHIAN NATL UNIV, VUL SHEVCHENKA 57, IVANO-FRANKIVSK 76018, UKRAINE, 2022)The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence ... -
Examination of Sets of Points and Non-Null Lines Under the Two-Parameter Lorentzian Motion
Şentürk, Gülsüm Yeliz; Yüce, Salim (EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE, STRADA NICOLAE RADIAN KB2-3, TARGOVISTE, 130082, ROMANIA, 2020)In this paper, firstly, we interested in finding the relationships among the densities of sets of collinear points, among the densities of non-collinear points and among the densities of sets of intersecting non-null lines ... -
Investigating Generalized Quaternions with Dual-Generalized Complex Numbers
Gürses, Nurten; Şentürk, Gülsüm Yeliz; Yüce, Salim (INST MATHEMATICS, AS CR, ZITNA 25, PRAHA 1 115 67, CZECH REPUBLIC, 2023)We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values α, β and p. Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized ... -
New Insight Into Quaternions and Their Matrices
Şentürk, Gülsüm Yeliz; Gürses, Nurten; Yüce, Salim (Ankara Üniversitesi Fen Fakültesi, 2023)This paper aims to bring together quaternions and generalized complex numbers. Generalized quaternions with generalized complex number components are expressed and their algebraic structures are examined. Several matrix ... -
On Ruled Non-Degenerate Surfaces with Darboux Frame in Minkowski 3-Space
Şentürk, Gülsüm Yeliz; Yüce, Salim (TURKIC WORLD MATHEMATICAL SOC, Z KHALILOV STR, 23, BAKU, AZ 1148, AZERBAIJAN, 2020)In this paper, ruled non-degenerate surfaces with respect to Darboux frame are studied. Characterization of them which are related to the geodesic torsion, the normal curvature and the geodesic curvature with respect to ... -
A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers
Gürses, Nurten; Şentürk, Gülsüm Yeliz; Yüce, Salim (Gazi Üniversitesi, 2021)This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration. Besides, dual-generalized ...
