Now showing items 114-133 of 209

    • New characterization of the class of starlike functions 

      Yavuz, Emel; Polatoğlu, Yaşar; Owa, Shigeyoshi (The Korean Mathematical Society, 2008)
      For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)).
    • New class of bounded log-harmonic mappings 

      Polatoğlu, Yaşar; Özkan Uçar, Hatice Esra (2016)
    • New distortion theorems for Sakaguchi functions 

      Çağlar, Mert; Polatoğlu, Yaşar (ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA, 2007-10)
      Let A be the class of functions f (z) of the form f (z) = z + Sigma(infinity)(k=2), a(k)z(k) that are analytic in the open unit disk D = {(z) epsilon C | |z| < 1} in 1959, K. Sakaguchi [9] has considered the subclass of A ...
    • New results of the generalization of Sakaguchi functions 

      Polatoğlu, Yaşar; Yavuz, Emel (2009)
    • New subclasses of certain analytic functions 

      Owa, Shigeyoshi; Polatoğlu, Yaşar; Yavuz Duman, Emel; Aydoğan, S. M. (2010)
      For certain analytic functions fiz) in the open unit disk U, two subclasses 7ia,S;g) and Q(a,(5;g) associated with some analytic function g{z). Some interesting sufficient conditions for fiz) to be in ^(Q,^;^ ) and ...
    • Nobel ve Matematik 

      Güzel, Erhan (2014-03-21)
    • Non-Polynomial Spline Method For A Singularly Perturbed Convection-Dominated Diffusion Equation 

      Çağlar, Hikmet; Uçar, Mehmet Fatih; Yıldırım, Mesut (Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)
      In this study, a singularly perturbed convection-dominated diffusion 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 ...
    • 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 ...
    • Non-Polynomial Spline Method for Fractional Diffusion Equation 

      Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Uçar, Mehmet Fatih; Akkoyunlu, Canan (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2012-11)
      The one-dimensional fractional diffusion equation is studied systematically using the non-polynomial spline method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of ...
    • 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, ...
    • Non-Polynomial Spline Method Of A Non-Linear System Of Second-Order Boundary Value Problems 

      Çağlar, Hikmet; Çağlar, Nazan; Akkoyunlu, Canan (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-04)
      The non-polynomial spline method is proposed to solve a non-linear system of the second-order boundary value problems (BVPs). Some numerical results are given to demostrate the validity and applicability of the presented ...
    • 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 ...
    • Notes on certain analytic functions 

      Yavuz, Emel; Owa, Shigeyoshi (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2019)
      Let A(n) be the class of functions f(z) = a(n)z(n) + a(n+1)z(n+1) +...(n is an element of N), which are analytic in the open unit disk U, where a(n) not equal 0. For f(z) is an element of A(n), Miller and Mocanu ...
    • Notes on Certain Harmonic Starlike Mappings 

      Yavuz Duman, Emel; Owa, Shigeyoshi (9th International Symposium on Geometric Function Theory and Applications, GFTA, 2014)
    • Notes on Starlike log-Harmonic Functions of Order alpha 

      Aydoğan, Seher Melike; Yavuz Duman, Emel; Owa, Shigeyoshi (2013)
      For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H∗ LH(α) and G∗ LH (α) of S∗ LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object ...
    • Numerical solution of integral equations by using local polynomial regression 

      Çağlar, Nazan; Çağlar, Hikmet (EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2008-04)
      In this paper, we find numerical solution of x(t) + lambda integral(b)(a)k(t,s)x(s)ds = y(t) a <= t <= b or x(t) + lambda integral(b)(a) k(t,s)x(s)ds = y(t) a <= t <= b, a <= s <= b by Local Polynomial ...
    • On a subclass of harmonic mappings 

      Yavuz Duman, Emel; Kahramaner, Yasemin; Polatoğlu, Yaşar (2013)
      In the present paper we extent the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h(z) maps D onto λ-spiral region and Ren e iλ ...
    • On Complex Characters of SL 4 q 

      Yelkenkaya, Neşe (2001)
    • On Gaussian Sums Over Finite Fields 

      Yelkenkaya, Neşe (İstanbul University Science Faculty, 1997)
      In this paper, it has been determined the sings of normed Gaussian sums over finite fields.
    • On Gaussian Sums Over Finite Fields II 

      YelkenKaya, Neşe (İstanbul Kültür Üniversitesi Yayınları, 2002-04)
      Let Fq:=GF(q) be a finite field of order q=ps for some s N, where p is an odd prime, and Fq=F( ), where F=Fp. Let =Fq-{0}= and K:= . Let be a non-trivial irreducible character of the additive group of Fq such that ...