Abstract
The paper contains a comparative description of sharp pointwise estimates to high order derivatives for two classes of analytic functions in the unit disk and half-plane. The first class consists of bounded analytic functions and the second one analytic functions with bounded real part. Two conjectures concerning the sharp coefficients in pointwise estimates for high order derivatives of analytic functions with bounded real part are formulated.
| Original language | English |
|---|---|
| Pages (from-to) | 193-201 |
| Number of pages | 9 |
| Journal | Functional Differential Equations |
| Volume | 26 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 2019 |
Keywords
- Analytic functions
- Szász inequality
- disk
- half-plane
- high order derivatives
- sharp pointwise estimates
- sharp real-part theorems