General Univalence Criterion Associated with the nth Derivative

For normalized analytic functions f(z) with f(z)≠0 for 0<|z|<1, we introduce a univalence criterion defined by sharp inequality associated with the nth derivative of z/f(z), where n∈{3,4,5,…}.

Bibliographic Details
Main Authors: Oqlah Al-Refai, Maslina Darus
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/307526