General Univalence Criterion Associated with the nth Derivative
Open Access
- 1 January 2012
- journal article
- research article
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2012 (1)
Abstract
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, …}.Keywords
Funding Information
- Universiti Kebangsaan Malaysia (KM-ST-06-FRGS0244-2010)
This publication has 4 references indexed in Scilit:
- Coefficient characterization for certain classes of univalent functionsBulletin of the Belgian Mathematical Society - Simon Stevin, 2009
- On a class of univalent functionsInternational Journal of Mathematics and Mathematical Sciences, 1999
- One Criterion for UnivalencyProceedings of the American Mathematical Society, 1989
- The Schwarzian derivative and univalent functionsProceedings of the American Mathematical Society, 1972