Yazar "Yüce, Salim" için Web of Science ve Scopus Atıf Dizinlerindeki Yayınlar listeleme
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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 ... -
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 ...