Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group
The author applies the decomposition with respect to the group of roots of unity to characterize some classes of biholomorphic mappings in \(\mathbb{C}^n\). The author considers the problem of subordination and majorization between convex mappings and their components in the above representation. Finally, a distortion theorem for convex mappings and a criterion for starlikeness in \(\mathbb{C}^n\) are given.
scientific article; zbMATH DE number 1956861
scientific article