The multidimensional analog of the Biberbach hypothesis for generalized star functions in the space cn, n> = 2

The article is an addition to the fundamental results of the geometric theory of multidimensional complex analysis problems for classes of holomorphic functions. The radii parameterization of the Reinhart region boundaries enables one to built effective sufficient conditions for the generalized star functions as a multivariate analogue of the Biberbach hypothesis.