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Browsing Makale Koleksiyonu by Author "Azak, Ayşe Zeynep"

Browsing Makale Koleksiyonu by Author "Azak, Ayşe Zeynep"

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  • A Study on Dual Hyperbolic Fibonacci and Lucas Numbers 
    Arzu Cihan; Azak, Ayşe Zeynep; Güngör, Mehmet Ali; Tosun, Murat (OVIDIUS UNIV PRESS, 2019)
    In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers. Additionally, we give the identities regarding negadual-hyperbolic ...
  • Euler savary formula for the one parameter motions in the complex plane C 
    Masal, Melek; Tosun, Murat; Azak, Ayşe Zeynep (ACADEMIC JOURNALS, 2010)
    Muller (1978), in the Euclidean plane E-2 introduced the one parameter planar motions and obtained the relation between absolute, relative, sliding velocities (and accelerations). During one parameter planar motion in the ...
  • Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties 
    Güngör, Mehmet Ali; Azak, Ayşe Zeynep (SPRINGER BASEL AG, 2017)
    In this study, we define the dual complex Fibonacci and Lucas numbers. We give the generating functions and Binet formulas for these numbers. Moreover, the well-known properties e.g. Cassini and Catalan identities have ...
  • Mannheim B-Curves in the Euclidean 3-Space E-3 
    Masal, Melek; Azak, Ayşe Zeynep (ACADEMIC PUBLICATION COUNCIL, 2017)
    In 1878, Mannheim defined the notion of a Mannheim pair of curves and in 2008 Liu and Wang gave the necessary and sufficient condition for the Mannheim curves using the Frenet frame as a key ingredient. In this article we ...
  • Ruled Surfaces According to Bishop Frame in the Euclidean 3-Space 
    Masal, Melek; Azak, Ayşe Zeynep (NATL ACAD SCIENCES INDIA, 2019)
    Attempts have been made to introduce ruled surfaces generated from any vector X, Bishop Darboux vector and Bishop vectors. Some properties with respect to developable and minimal and the relations between the integral ...
  • Ruled Surfaces According to Bishop Frame in the Euclidean 3-space 
    Masal, Melek; Azak, Ayşe Zeynep (2019)