On the Analytical Determination of Geometric Characterizations of Analytic Functions

Authors : Alaattin AKYAR

Pages : 9-15

Doi:10.54974/fcmathsci.1094167

View : 25 | Download : 7

Publication Date : 2023-01-31

Article Type : Research Paper

Abstract :As it is known, there are many sufficient conditions for the classification complex functions of one variable finsert ignore into journalissuearticles values(z);, which are analytic and univalent in the open unit disc U = {z ∈ C ∶ SzS < 1}, and are also normalized with finsert ignore into journalissuearticles values(0); = 1 − f′insert ignore into journalissuearticles values(0); = 0 which are also known as normalization conditions. In this sense, the main goal of present article is to derive some special sufficient conditions for finsert ignore into journalissuearticles values(z); to be starlike of order 2−r and convex of order 2−r in U , with r is a positive integer.
Keywords : Analytic function, convex function, starlike function, univalent function