Title of article :
Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions S with Order 2
Author/Authors :
Yıldız, İsmet Department of Mathematics - Faculty of Science and Arts - Düzce Uni- versity, Düzce, Turkey , Mert, Oya Department of Mathematics - Faculty of Science and Arts - Tekirdağ Namık Kemal University, Tekirdağ, Turkey , Akyar, Alaattin Department of Mathematics - Faculty of Science and Arts - Düzce Uni- versity, Düzce, Turkey
Abstract :
In this paper, some conditions have been improved so
that the function g(z) is defined as g(z) = 1 +∑∞
k≥2
an+kz
n+k
, which
is analytic in unit disk U, can be in more specific subclasses of the
S class, which is the most fundamental type of univalent function.
It is analyzed some characteristics of starlike and convex functions
of order 2
−r
.
Keywords :
Analytic function , Convex function , Starlike function , Univalent function
Journal title :
Sahand Communications in Mathematical Analysis
