Abstract
In the present article we discuss necessary and sufficient conditions for concave functions, i.e. meromorphic functions which map the unit disk conformally on a domain whose complement is convex. The conditions will be given with respect to an arbitrary point p ∈ (-1, 1). We will also look at representation formulas for the related functions as well as an application of the derived formula.
| Original language | English |
|---|---|
| Pages (from-to) | 1-4 |
| Number of pages | 4 |
| Journal | Proceedings of the Japan Academy Series A: Mathematical Sciences |
| Volume | 91 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2015 |
Keywords
- Concave functions
- Meromorphic univalent functions