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 $p\in (-1,1)$. We will also look at representation formulas for the related functions as well as an application of the derived formula.
Citation
Rintaro Ohno. "An extension of necessary and sufficient conditions for concave functions." Proc. Japan Acad. Ser. A Math. Sci. 91 (1) 1 - 4, January 2015. https://doi.org/10.3792/pjaa.91.1
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