Güncel Gönderiler

  • Coefficient inequality for q-starlike functions 

    Özkan Uçar, H. Esra (Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 USA, 2016-03-05)
    Let A be the class of analytic functions f which are regular and satisfying the conditions f (0) = 0, f'(0) = 1. In other words each f in A has the power series representation f(z) = z + a(2)z(2) + a(3)z(3) + ... in the ...
  • A combinatorial discussion on finite dimensional Leavitt path algebras 

    Koç, Ayten; Esin, Songül; Güloğlu, İsmail; Kanuni, Müge (Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 2014)
    Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ...
  • Quasiconformal Harmonic Mappings Related to Janowski Alpha-Spirallike Functions 

    Polatoğlu, Yaşar; Aydoğan, Melike (Amer Inst Physics, 2 Huntington Quadrangle, Ste 1No1, Melville, Ny 11747-4501 Usa, 2014)
    Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ...
  • Model order reduction for nonlinear Schrodinger equation 

    Karasözen, Bülent; Akkoyunlu, Canan; Uzunca, Murat (Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 USA, 2015-05-01)
    We apply the proper orthogonal decomposition (POD) to the nonlinear Schrodinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure ...
  • The Rayleigh-Ritz minimax formula in Kaplansky-Hilbert modules 

    Gönüllü, Uğur (Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands, 2015-06)
    We give the RayleighRitz minimax formula for cyclically compact operators on KaplanskyHilbert modules.
  • An investigation on a new class of harmonic mappings 

    Yavuz Duman, Emel; Polatoğlu, Yaşar; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2013)
    In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:72-75, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ...
  • Harmonic mappings related to the m-fold starlike functions 

    Aydoğan, Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 2015-09-15)
    In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ...
  • On the class of harmonic mappings which is related to the class of bounded boundary rotation 

    Polatoğlu, Yaşar; Aydoğan, Melike; Kahramaner, Yasemin (Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 2015-09-15)
    The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ...
  • Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method 

    Polatoğlu, Yaşar; Yavuz Duman, Emel; Ozkan, Hatice Esra (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr-06100 Ankara, Turkey, 2013)
    In this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic functions.
  • On quasiconformal harmonic mappings lifting to minimal surfaces 

    Taştan, Hakan Mete; Polatoğlu, Yaşar (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr-06100 Ankara, Turkey, 2013)
    We prove a growth theorem for a function to belong to the class Sigma(mu; a) and generalize a Weierstrass-Enneper representation type theorem for the minimal surfaces given in [5] to spacelike minimal surfaces which lie ...
  • Instructional technology as a tool in creating constructivist classrooms 

    Er, Neslihan Fatma; Er, Mustafa (Elsevier Science Bv, Sara Burgerhartstraat 25, Po Box 211, 1000 Ae Amsterdam, Netherlands, 2013)
    Unlike traditional approach, constructivists view the learner as the active participant of the learning process. Constructivist instructors' main concern is providing the learners with learning environments in which they ...
  • Non-polynomial Spline Solution for a Fourth-Order Non-homogeneous Parabolic Partial Differential Equation with a Separated Boundary Condition 

    Er, Neslihan Fatma; Yeniçeri, Senem; Çağlar, Süleyman Hikmet; Akkoyunlu, Canan (Springer-Verlag Berlin, Heidelberger Platz 3, D-14197 Berlin, Germany, 2013)
    In this paper, a fourth-order non-homogeneous parabolic partial differential equation with initial and separated boundary conditions is solved by using a non-polynomial spline method. In the solution of the problem, finite ...
  • Non-polynomial Spline Method for the Solution of Non-linear Burgers' Equation 

    Çağlar, Süleyman Hikmet; Uçar, Mehmet Fatih (Springer-Verlag Berlin, Heidelberger Platz 3, D-14197 Berlin, Germany, 2013)
    A non-polynomial cubic spline method is proposed in this paper to solve one-dimensional non-linear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, ...
  • Analyzing the Chaotic Behaviour of the Harmonic Function of Henon-Heiles Potential 

    Bolcal, Ertuğrul Cem; Karakuş, Cahit; Polatoğlu, Yaşar (Springer-Verlag Berlin, Heidelberger Platz 3, D-14197 Berlin, Germany, 2012-05)
    In this work, the chaotic behaviour of Harmonic function of Henon-Heiles Hamiltonian system is computed and analyzed by using multi-dimensional Schwarzian derivative. Moreover, chaotic behaviour of the saddle points in ...
  • Bounded Log-Harmonic Functions with Positive Real Part 

    Özkan Uçar, Hatice Esra; Polatoğlu, Yaşar (Academic Press inc Elsevier Science, 525 B St, Ste 1900, San Diego, Ca 92101-4495 USA, 2013-03-01)
    Let H(D) be the linear space of all analytic functions defined on the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}, and let B be the set of all functions w(z) is an element of H(D) such that vertical ...
  • An Investigation on a New Class of Harmonic Mappings 

    Polatoğlu, Yaşar; Duman Yavuz, Emel; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2013-11-07)
    In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:72-75, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ...
  • Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation 

    Uçar, Mehmet Fatih; Çağlar, Süleyman Hikmet (Polish Acad Sciences inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2012-01)
    In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different ...
  • Comparison of the Data Classification Approaches to Diagnose Spinal Cord Injury 

    Demirer, Rüştü Murat; Arslan, Yunus Ziya; Palamar, Deniz; Uğur, Mukden; Karamehmetoğlu, Şafak Sahir (Hindawi Publishing Corporation, 410 Park Avenue, 15Th Floor, #287 Pmb, New York, Ny 10022 USA, 2012)
    In our previous study, we have demonstrated that analyzing the skin impedancesmeasured along the key points of the dermatomes might be a useful supplementary technique to enhance the diagnosis of spinal cord injury (SCI), ...
  • Invariant Subspaces of Weakly Compact-friendly Operators 

    Çağlar, Mert; Mısırlıoğlu, Tunç (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvari No 221, Kavaklidere, Tr-06100 Ankara, Turkey, 2012)
    We prove that if a non-zero weakly compact-friendly operator B on a Banach lattice with topologically full center is locally quasi-nilpotent, then the super right-commutant [B > of B has a non-trivial closed invariant ...
  • Harmonic Function For Which The Second Dilatation is Alpha-Spiral 

    Duman Yavuz, Emel; Aydoğan, Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012)
    Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alpha-spiral

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