Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

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

Abstract

Go to

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

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS

more +