Abstract:
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.
Key words:univalent functions, multidimensional analogue of the Biberbach hypothesis, efficiency coefficients, Taylor series, radius parameterization.