Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2011; 48(4): 697-704

Printed July 1, 2011

https://doi.org/10.4134/BKMS.2011.48.4.697

Copyright © The Korean Mathematical Society.

On sufficient conditions for strongly starlike functions associated with a linear operator

Jin-Lin Liu

Yangzhou University

Abstract

By using the method of differential subordinations, we derive some sufficient conditions for strongly starlike functions associated with a linear operator. All these results presented here are sharp.

Keywords: analytic function, starlike function, strongly starlike function, subordination, Hadamard product (or convolution)

MSC numbers: Primary 30C45; Secondary 30A10