Browsing Matematik Bölümü Makale Koleksiyonu by Title

Browsing Matematik Bölümü Makale Koleksiyonu by Title

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  • Güler, Erhan; Yaylı, Yusuf; Hacısalihoğlu, Hasan Hilmi (Hacettepe Üniversitesi, 2010)
    In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour’s theorem on the Gauss map, andsome special examples are given.
  • Güler, Erhan; Konnai, Shotaro; Yasumoto, Masashi (Geometry, Integrability and Quantization, 2016)
    In this paper, we give explicit parametrizations for Bour type surfaces in various three-dimensional space forms, using Weierstrass-type representations. We also determine classes and degrees of some Bour type zero mean ...
  • Güler, Erhan; Turgut Vanlı, Aysel (Kyoto Journal of Mathematics, 2006)
    In this study, we show that a Generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the Helicoid correspond to parallel circles on the rotation surface in three dimensional ...
  • Güler, Erhan; Turgay, Nurettin Cenk (Springer, 2019)
    We consider rotational hypersurface in the four-dimensional Euclidean space E4. We study the Gauss map G of rotational hypersurface in E4 with respect to the so-called Cheng–Yau operator L1 acting on the functions defined ...
  • Güler Eroğlu, Fatma; Kaya, Songül; Rebholz, Leo G. (IAENG International Journal of Applied Mathematics, 2019)
    We extend the post-processing implementation of a projection based variational multiscale (VMS) method with proper orthogonal decomposition (POD) to flows governed by double diffusive convection. In the method, the ...
  • Güler, Erhan; Gümüşok Karaalp, Ayçın (Ikonion Journal of Mathematics, 2019)
    We define Dini-type helicoidal hypersurface in the four dimensional Euclidean space 𝔼4. We calculate the Gauss map, Gaussian curvature and the mean curvature of the helicoidal hypersurface. Additionally, we find some ...
  • Güler, Erhan; Kişi, Ömer (Mathematics, 2019)
    We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space E41. Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the ...
  • Güler, Erhan (Mathematics, 2018)
    We consider a family of higher degree Enneper minimal surface Em for positive integers m in the three-dimensional Euclidean space E3. We compute algebraic equation, degree and integral free representation of Enneper minimal ...
  • Güler, Erhan; Hacısalihoğlu, Hasan Hilmi; Kim, Young Ho (2018)
    We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some ...
  • Güler, Erhan; Yaylı, Yusuf (Kuwait Journal of Science, 2015)
    We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour’s theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces.
  • Kişi, Ömer (Longdom Publishing SL, 2018-06)
  • Güler, Erhan; Zambak, Vahit (2019)
    We consider the Henneberg's algebraic zero mean curvature surfaces in three dimensional Minkowski space, and compute their classes, degrees and integral free representations. We also draw some figures of the algebraic surfaces.
  • Kişi, Ömer; Gümüş, Hafize; Nuray, Fatih (Acta Universitatis Apulensis, 2015-03)
  • Kişi, Ömer; Güler, Erhan (Fundamental Journal of Mathematics and Applications, 2018-12)
    In this paper, we define four types of convergence of a sequence of random variables, namely, I-statistical convergence of order a, I-lacunary statistical convergence of order a, strongly I-lacunary convergence of order ...
  • Kişi, Ömer; Ulusu, Uğur (Electronic Journal of Mathematical Analysis and Applications, 2017-01)
    In this paper, we de ned concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationships between the concepts of Wijsman strongly I-Cesàro summability, Wijsman strongly I-lacunary summability, ...
  • Kişi, Ömer (Journal of Intelligent Fuzzy Systems, 2019-04)
    In this paper, we have investigated I2-λ-statistically convergence for double sequences in fuzzy normed linear spaces, where λ = (λr) and μ = (μs) be two non-decreasing sequences of positive real numbers, each tending to ...
  • Güler, Erhan (Longdom Publishing SL, 2012)
    We study on the third Laplace-Beltrami operator of timelike rotational surface of (S,L)-type in three dimensional Minkowski space.
  • Güler, Erhan; Kişi, Ömer; Konaxis, Christos (2018)
    Considering the Weierstrass data as $(\psi ,f,g)=( 2,1-z^{-m},z^{n})$, we introduce a two parameter family of Henneberg type minimal surface that we call $\mathfrak{H}_{m,n}$ for positive integers $(m,n)$ by using the ...
  • Güler, Erhan (2018)
    We consider a new kind of helicoidal surface for natural numbers (m, n) in the three-dimensional Euclidean space. We study a helicoidal surface of value (m, n), which is locally isometric to a rotational surface of value ...

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