%0 Journal Article
%T Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Yıldız, İsmet
%A Mert, Oya
%A Akyar, Alaattin
%D 2022
%\ 10/01/2022
%V 19
%N 4
%P 109-116
%! Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$
%K Analytic function
%K convex function
%K Starlike function
%K Univalent function
%R 10.22130/scma.2022.541789.1010
%X In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, 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 $2^{-r}$.
%U https://scma.maragheh.ac.ir/article_696650_dcf8eb7e6811fa9ee0ae9935133f9794.pdf