✦ LIBER ✦
Extreme Points and Minimal Outer Area Problem for Meromorphic Univalent Functions
✍ Scribed by Jinxi Ma
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 101 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
For 0p -1, let S denote the class of functions f z meromorphic univalent p Ž .
Ž . Ž . in the unit disk ބ with the normalization f 0 s 0, f Ј 0 s 1, and f p s ϱ. Let Ž . S a be the subclass of S with the fixed residue a. In this note we determine the p p Ž . extreme points of the class S a . As an application, we solve the problem of p Ž .
Ž minimizing the outer area over S a , which was posed by S.