Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Gülsüm Yeliz Şentürk"'
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 3, Pp 329-348 (2023)
We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha$, $\beta$ and $\mathfrak{p}$. Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized qu
Externí odkaz:
https://doaj.org/article/6219b223e76c4c7494b111d7ce0c11b5
Autor:
GÜLSÜM YELİZ ŞENTÜRK, SALİM YÜCE
Publikováno v:
Kuwait Journal of Science, Vol 42, Iss 2 (2015)
In this study, the ruled surface with Darboux frame is defined. Then, the ruled surfacescharacteristic properties which are related to the geodesic curvature, the normal curvature andthe geodesic torsion are investigated. The relation between the Dar
Externí odkaz:
https://doaj.org/article/eb0f8a0d958646229b3ba683b0f3fb83
Autor:
NURTEN GÜRSES, GÜLSÜM YELİZ ŞENTÜRK
Publikováno v:
Journal of Science and Arts. 23:209-228
Classical matrix theory for real, complex and hypercomplex numbers is a well-known concept. Is it possible to construct matrix theory over dual-generalized complex (DGC) matrices? The answer to this question is given in this paper. The paper is const
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28192d1a3cf6342d63cd046b096272ba
https://doi.org/10.46939/j.sci.arts-23.1-a17
https://doi.org/10.46939/j.sci.arts-23.1-a17
Publikováno v:
Carpathian Mathematical Publications. 14:406-418
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 relations, Binet's formulas, Tagiur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ba3217e9e438e5e4a822f6daa6db3ad
https://doi.org/10.15330/cmp.14.2.406-418
https://doi.org/10.15330/cmp.14.2.406-418
Publikováno v:
Mathematica Bohemica. :1-20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82a0fa5af485659ecb4941e71cfcb3b4
https://doi.org/10.21136/mb.2022.0096-21
https://doi.org/10.21136/mb.2022.0096-21
Publikováno v:
Volume: 11, Issue: 2 586-593
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
Bu çalışmada, dual kuaterniyon teorisinin genelleştirilmiş kompleks sayı (GCN) katsayılı dual kuaterniyonlara nasıl genişletilebileceğini açıklıyoruz. Daha özel olarak, bu yeni tip dual kuaterniyonun cebirsel olarak incelenmesini ve ç
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4ccd4597ae13fa2f245580b143a41e8
https://doi.org/10.17798/bitlisfen.1063550
https://doi.org/10.17798/bitlisfen.1063550
Publikováno v:
Notes on Number Theory and Discrete Mathematics. 27:219-235
In this study, we have defined Fibonacci quaternion matrix and investigated its powers. We have also derived some important and useful identities such as Cassini’s identity using this new matrix.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a4fbdf26c991d4b3155db378269a108
https://doi.org/10.7546/nntdm.2021.27.4.219-235
https://doi.org/10.7546/nntdm.2021.27.4.219-235
Autor:
GÜLSÜM YELİZ ŞENTÜRK
Publikováno v:
Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::178ba00485919413a945eb5453403244
https://doi.org/10.14744/sigma.2022.00014
https://doi.org/10.14744/sigma.2022.00014
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 representations and computatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93c3451e5e2eee2dfe4d6ec9e991a1ba
https://doi.org/10.20944/preprints202104.0519.v1
https://doi.org/10.20944/preprints202104.0519.v1
Publikováno v:
Volume: 34, Issue: 1 180-194
Gazi University Journal of Science
Gazi University Journal of Science
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 complex and hyperbolic-generalize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d73100e9110fe19fc5b74a0c82c39ace
https://hdl.handle.net/11363/4882
https://hdl.handle.net/11363/4882