Published 24-01-2025
Keywords
- hyperbolically convex function,
- distortion theorem,
- modulus of families of curves,
- reduced modulus.
Abstract
We study the class of hyperbolically convex bounded univalent functions with a boundary normalization in the unit disk U. In the paper we obtain the lower estimate for the distortion in this class. A two-point distortion theorem is also proved. The method of proofs is based on the reduced modulus of digons and the modulus of annuli.
