International Journal of Mathematics and Mathematical Sciences 
Volume 32 (2002), Issue 12, Pages 701-706
doi:10.1155/S0161171202110015

Sufficient conditions for univalence in ℂ n

Dorina Rãducanu

 Department of Mathematics, Faculty of Sciences, “Transilvania” University of Braşov, 50 Iuliu Maniu Street, Braşov 2200, Romania
Received 1 October 2001; Revised 8 April 2002

Abstract

The method of subordination chains is used to establish new univalence criteria for holomorphic mappings in the unit ball of ℂ n. Various criteria involving the first and the second derivative of a holomorphic mapping in the unit ball of ℂ n are developed.