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.
Analytic function convex function starlike function univalent function
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Research Articles |
Yazarlar | |
Yayımlanma Tarihi | 31 Ocak 2023 |
Yayımlandığı Sayı | Yıl 2023 |
FCMS is licensed under the Creative Commons Attribution 4.0 International Public License.