18 citations · 20 across the 5 of their papers we have counts for
5 papers
A Note On Bicomplex Fibonacci and Lucas Numbers
Semra Kaya Nurkan, İlkay Arslan Güven
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. Doca…
Notes on W-direction curves in Euclidean 3-space
İlkay Arslan Güven, Semra Kaya Nurkan, İpek Ağaoğlu Tor
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 Frene…
Ruled Surfaces in Three Dimensional Lie Groups
İlkay Arslan Güven, Semra Kaya Nurkan
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 metr…
Dual Fibonacci Quaternions
Semra Kaya Nurkan, İlkay Arslan Güven
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 connecte…
Ruled Weingarten Surfaces Related to Dual Spherical Curves
İlkay Arslan Güven, Semra Kaya Nurkan, Murat Kemal Karacan
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 surface…