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New characterization of the class of starlike functions
(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 distortion theorems for Sakaguchi functions
(ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA, 200710)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 subclasses of certain analytic functions
(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
(20140321) 
NonPolynomial Spline Method For A Singularly Perturbed ConvectionDominated Diffusion Equation
(Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)In this study, a singularly perturbed convectiondominated diffusion equation is solved by using a nonpolynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained ... 
NonPolynomial Spline Method for a TimeDependent HeatLike Lane Emden Equation
(Polish Acad Sciences inst Physics, Al Lotnikow 3246, Pl02668 Warsaw, Poland, 201201)In this study, a timedependent heatlike LaneEmden equation is solved by using a nonpolynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different ... 
NonPolynomial Spline Method for Fractional Diffusion Equation
(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 201211)The onedimensional fractional diffusion equation is studied systematically using the nonpolynomial spline method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of ... 
Nonpolynomial Spline Method for the Solution of Nonlinear Burgers' Equation
(SpringerVerlag Berlin, Heidelberger Platz 3, D14197 Berlin, Germany, 2013)A nonpolynomial cubic spline method is proposed in this paper to solve onedimensional nonlinear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, ... 
NonPolynomial Spline Method Of A NonLinear System Of SecondOrder Boundary Value Problems
(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 201004)The nonpolynomial spline method is proposed to solve a nonlinear system of the secondorder boundary value problems (BVPs). Some numerical results are given to demostrate the validity and applicability of the presented ... 
Nonpolynomial Spline Solution for a FourthOrder Nonhomogeneous Parabolic Partial Differential Equation with a Separated Boundary Condition
(SpringerVerlag Berlin, Heidelberger Platz 3, D14197 Berlin, Germany, 2013)In this paper, a fourthorder nonhomogeneous parabolic partial differential equation with initial and separated boundary conditions is solved by using a nonpolynomial spline method. In the solution of the problem, finite ... 
Notes on certain analytic functions
(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 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
(9th International Symposium on Geometric Function Theory and Applications, GFTA, 2014) 
Notes on Starlike logHarmonic Functions of Order alpha
(2013)For logharmonic 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 logharmonic functions of order α (0 ≤ α < 1) are considered. The object ... 
Numerical solution of integral equations by using local polynomial regression
(EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 200804)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
(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 λspiral region and Ren e iλ ... 
On Complex Characters of SL 4 q
(2001) 
On Gaussian Sums Over Finite Fields
(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
(İstanbul Kültür Üniversitesi Yayınları, 200204)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 nontrivial irreducible character of the additive group of Fq such that ...