Abstract:
Strongly convex analysis is widely applied in various areas of mathematics (see [1,2]). The article gives a full description of $R$-convex planar domains in terms of biholomorphic mappings of the unit disk onto these domains: a criterion is obtained for a biholomorphic function to map the disk onto an $R$-convex domain.
Keywords:strongly convex analysis, $R$-convex domain, biholomorphic mappings of the disk.