Inner Radius of Univalence for a Strongly Starlike Domain

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4 Citations (Scopus)

Abstract

The inner radius of univalence of a domain D with Poincaré density ρD is the possible largest number σ such that the condition ∥SfD = supw ∈ D ρD(w)-2|Sf(z)| ≤ σ implies univalence of f for a nonconstant meromorphic function f on D, where S f is the Schwarzian derivative of f. In this note, we give a lower bound of the inner radius of univalence for strongly starlike domains of order α in terms of the order a.

Original languageEnglish
Pages (from-to)61-68
Number of pages8
JournalMonatshefte fur Mathematik
Volume139
Issue number1
DOIs
Publication statusPublished - 2003 May 1
Externally publishedYes

Keywords

  • Inner radius of univalence
  • Poincaré metric
  • Strongly starlike

ASJC Scopus subject areas

  • Mathematics(all)

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