Properties of analytic solutions of three similar differential equations of the second order
An analytic univalent in ${\mathbb D}=\{z:\;|z|<1\}$ function $f(z)$ is said to be convex if $f({\mathbb D})$ is a convex domain. It is well known that the condition $\text{Re}\,\{1+zf''(z)/f'(z)\}>0$, $z\in{\mathbb D}$, is necessary and sufficient for the convexity of $f$. The...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vasyl Stefanyk Precarpathian National University
2021-08-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/4528 |