- Fundamentals of Contemporary Mathematical Sciences
- Vol: 4 Issue: 1
- On the Analytical Determination of Geometric Characterizations of Analytic Functions
On the Analytical Determination of Geometric Characterizations of Analytic Functions
Authors : Alaattin Akyar
Pages : 9-15
Doi:10.54974/fcmathsci.1094167
View : 8 | Download : 5
Publication Date : 2023-01-31
Article Type : Research
Abstract :As it is known, there are many sufficient conditions for the classification complex functions of one variable f(z), which are analytic and univalent in the open unit disc U = {z ∈ C ∶ SzS < 1}, and are also normalized with f(0) = 1 − f′(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 f(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