Toshiyuki SUGAWA

Inner radius of univalence for a strongly starlike domain


The inner radius of univalence of a domain D with Poincar'e density pD is the possible largest number c such that the condition ||Sf||D =supw pD(w)-2|Sf (z)| < c implies the univalence of f for a nonconstant meromorphic function f on D, where Sf is the Schwarzian drivative of f. In this note, we will give a lower estimate of the inner radius of univalence for strongly starlike domains of order a with a concrete bound in terms of the order a.

submission: February 4, 2000
revision: February 8, 2000
revision: November 21, 2001
revision: November 22, 2001

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