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On products of the inner radii of the domains containing points of some straight line

  • Iryna Denega,
  • Yaroslav Zabolotnyi

摘要

In this paper, estimates of products of the inner radii of non-overlapping domains containing points of some straight line have been obtained. The application of the obtained results to functions regular in a unit circle without common values has also been considered. Estimates of the derivatives of modules at more than two points for univalent functions with fixed values fk(0) on some straight line have been proved.