<p>In the paper, we consider conformal radii of the right half-plane and the open unit disk sectors. New distortion theorems for univalent functions in <i>U</i> are obtained, in the cases when the functions map sectors onto the open unit disk and a star-shaped domains relative to the origin.</p>

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Using conformal radii of the open unit disk sectors in distortion theorems for univalent functions

  • Iryna Denega,
  • Yaroslav Zabolotnyi

摘要

In the paper, we consider conformal radii of the right half-plane and the open unit disk sectors. New distortion theorems for univalent functions in U are obtained, in the cases when the functions map sectors onto the open unit disk and a star-shaped domains relative to the origin.