Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$

Author(s):

İsmet Yıldız , Oya Mert , Alaattin Akyar

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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 $2^{-r}$.

Keywords:

Analytic function , convex function , starlike function , univalent function

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:19 Issue: 4, Autumn 2022
Pages:
109 to 116
https://www.magiran.com/p2508364