Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Güven İlkay Arslan"'
In this study, we define a new type of Fibonacci and Lucas num- bers which are called bicomplex Fibonacci and bicomplex Lucas numbers. We obtain the well-known properties e.g. Docagnes, Cassini, Catalan for these new types. We also give the identitie
Externí odkaz:
http://arxiv.org/abs/1508.03972
In this paper, we study the spherical indicatrices of W-direction curves in three dimensional Euclidean space which were defined by using the unit Darboux vector field W of a Frenet curve, in [11]. We obtain the Frenet apparatus of these spherical in
Externí odkaz:
http://arxiv.org/abs/1506.03938
Motivated by a number of recent investigations, we define and investigate the various properties of the ruled surfaces depend on three dimensional Lie groups with a bi-variant metric. We give useful results involving the characterizations of these ru
Externí odkaz:
http://arxiv.org/abs/1503.02524
Autor:
Güven İlkay Arslan
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 1332-1341 (2020)
In this paper, some new integral curves are defined in three-dimensional Euclidean space by using a new frame of a polynomial spatial curve. The Frenet vectors, curvature and torsion of these curves are obtained by means of new frame and curvatures.
Externí odkaz:
https://doaj.org/article/bf5907071c974f668cb2e8f6eb3d4805
In this study, we define the dual Fibonacci quaternion and the dual Lucas quternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet
Externí odkaz:
http://arxiv.org/abs/1308.6772
Autor:
Güven, İlkay Arslan, Ağaoğlu, İpek
In this study, we investigate Bertrand curves in three dimensional dual space D3 and we obtain the characterizations of these curves in dual space D3. Also we show that involutes of a curve constitute Bertrand pair curves.
Externí odkaz:
http://arxiv.org/abs/1307.2714
We study ruled surfaces in R3 which are obtained from dual spher- ical indicatrix curves of dual Frenet vector fields. We find the Gaussian and mean curvatures of the ruled surfaces and give some results of being Wein- garten surface.
Externí odkaz:
http://arxiv.org/abs/1307.2716
Autor:
Güven, İlkay Arslan, Yaylı, Yusuf
In this study, we give the relation of being general helix and slant helix of two curves by using the equation between them. Also we find some results and express the characterizations of these curves.
Externí odkaz:
http://arxiv.org/abs/1307.2720
Autor:
Nurkan, Semra Kaya1 (AUTHOR) semra.kaya@usak.edu.tr, Güven, İlkay Arslan2 (AUTHOR)
Publikováno v:
Symmetry (20738994). Jan2023, Vol. 15 Issue 1, p149. 15p.
Akademický článek
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