Ümit Sarp

Ümit Sarp
Izmir Katip Celebi Universitesi · Distance Education Application and Research Center

PhD
Lecturer in İzmir Kâtip Çelebi University

About

10
Publications
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15
Citations

Publications

Publications (10)
Article
Full-text available
In this study, the numerical solutions of some systems of ordinary and partial differential equations have been analyzed by using the Differential Transformation Method (DTM) and compared with solutions of other numerical methods .This method can be used to solve some ordinary and partial differential equations in a short time by using very simple...
Article
Full-text available
In this paper, according to some numerical computational evidence, we investigate and prove certain identities and properties on the absolute Möbius divisor functions and Euler totient function when they are iterated. Subsequently, the relationship between the absolute Möbius divisor function with Fermat primes has been researched and some results...
Article
Full-text available
In this paper, basic information about centered polygonal numbers and continuous fractions are given. By using the continuous fraction algorithm, the relations between centered polygonal numbers and continued fractions have been studied. A general form for continued fractions of ratios of centered polygonal numbers of consecutive order is explained...
Article
In this study, we introduce the absolute M\"obius divisor function $U\left( n \right)$. Also we investigate the sequences ${{\left( {{U}_{m}}\left( n \right) \right)}_{m}}$, which concerns the iteration of the absolute M\"obius divisor function $U\left(n\right)$. According to some numerical computational evidence, we consider integer pairs (n; n +...