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Commun. Korean Math. Soc. 2017; 32(1): 93-106
Online first article January 11, 2017 Printed January 31, 2017
https://doi.org/10.4134/CKMS.c160063
Copyright © The Korean Mathematical Society.
Starlikeness and Schwarzian derivatives of higher order of analytic functions
Ohsang Kwon and Youngjae Sim
Kyungsung University, Kyungsung University
In this paper we apply the third-order differential subordination results to normalized analytic functions in the open unit disk. We obtain appropriate classes of admissible functions and find some sufficient conditions of functions to be starlike associated with Tamanoi's Schwarzian derivative of third order. Several interesting examples are also discussed.
Keywords: analytic functions, differential subordination, admissible functions, Schwarzian derivatives, starlike functions
MSC numbers: Primary 30C45, 30C50
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