The extreme and support points of a new class of analytic functions with positive real part (Q355864)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The extreme and support points of a new class of analytic functions with positive real part |
scientific article; zbMATH DE number 6191245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The extreme and support points of a new class of analytic functions with positive real part |
scientific article; zbMATH DE number 6191245 |
Statements
The extreme and support points of a new class of analytic functions with positive real part (English)
0 references
25 July 2013
0 references
Summary: Suppose that \(0 < \alpha < \beta < +\infty\). Let \(\mathcal P(\alpha, \beta)\) denote the set of functions \(p(z)\) that are analytic in \(D = \{z : |z| < 1\}\) and satisfy \(\mathrm{Re} p(z) > 0\) (\(|z| < 1\)) and \(\alpha \leq p(0) \leq \beta\). In this paper, we investigate the extreme points and support points of \(\mathcal P(\alpha, \beta)\).
0 references
0 references
0 references
0.8797543048858643
0 references
