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.
|Number of pages||4|
|Journal||Proceedings of the Japan Academy Series A: Mathematical Sciences|
|Publication status||Published - 2015|
- Concave functions
- Meromorphic univalent functions
ASJC Scopus subject areas