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- Mamoru Nunokawa, Shigeyoshi Owa, Yaşar Polatog̃lu, Mert Çag̃lar, Emel Yavuz Duman, YAVUZ DUMAN
- 2010

There are many results for sufficient conditions of functions f (z) which are analytic in the open unit disc Í to be starlike and convex in Í. some sufficient conditions for starlikeness and convexity of f (z) are discussed.

- EMEL YAVUZ, Shigeyoshi Owa, Yaşar Polatoğlu, Emel Yavuz
- 2006

Contents

- Yaşar Polatoğlu, Arzu Şen, Haidan
- 2007

We give some results of Janowski λ-spirallike functions of complex order in the open unit disc D = {z : |z| < 1}.

- YAŞAR POLATOĞLU
- 2002

We give two-point distortion theorems for various subfamilies of analytic univalent functions. We also find the necessary and sufficient condition for these subclasses of analytic functions. 1. Introduction. Let Ω be the family of functions ω(z) regular in the unit disc D = {z | |z| < 1} and satisfying the conditions ω(0) = 0, |ω(z)| < 1 for z ∈ D. For… (More)

- Yaşar Polatog̃lu
- 2012

Let A be the class of all analytic functions in the open unit disc D = {z| |z| < 1} of the form f (z) = z + a2z 2 + a3z 3 + · · ·. Let g(z) be an element of A satisfying the condition e iα z g (z) g(z) = 1 + Aφ(z) 1 + Bφ(z) where |α| < π 2 , −1 ≤ B < A ≤ 1 and φ(z) is analytic in D and satisfies the conditions φ(0) = 0, |φ(z)| < 1 for every z ∈ D. Then g(z)… (More)

Let H(D) be the linear space of all analytic functions defined on the open unit disc D = {z ∈ C : |z| < 1}. A sense-preserving log-harmonic mapping is the solution of the non-linear elliptic partial differential equation f ¯ z = wf z f /f , where w(z) ∈ H(D) is the second dilatation of f such that |w(z)| < 1 for every z ∈ D. It has been shown that if f is a… (More)

Let h(z) and g(z) be analytic functions in the open unit disc D = {z | |z| < 1}, with the normalization h(0) = g(0) = 1. The class of log-harmonic mappings of the form f = zh(z)g(z) is denoted by S lh. The aim of this paper is to investigate the class of Janowski starlike log-harmonic mappings, a subclass of the log-harmonic mappings.

- Yaşar Polatog̃lu, Emel Yavuz
- 2007

Let A be the class of functions f (z) of the form f (z) = z + a 2 z 2 + · · · which are analytic in the open unit disc U = {z ∈ C||z| < 1}. In 1959 [5], K. Sakaguchi has considered the subclass of A consisting of those f (z) which satisfy Re zf (z) f (z)−f (−z) > 0, where z ∈ U. We call such a functions " Sakaguchi Functions ". Various authors have… (More)

In the present paper we shall give the radius of starlikeness for the classes of p-valent analytic functions in the unit disc D = {z | |z| < 1 } .

- Yasar Polatoglu, Metin Bolcal, Arzu Sen
- Int. J. Math. Mathematical Sciences
- 2004

We will give the relation between the class of Janowski starlike functions of complex order and the class of Janowski convex functions of complex order. As a corollary of this relation, we obtain the radius of starlikeness for the class of Janowski convex functions of complex order. 1. Introduction. Let F be the class of analytic functions in D = {z | |z| <… (More)