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
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.