Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2011; 48(3): 627-636

Printed May 1, 2011

https://doi.org/10.4134/BKMS.2011.48.3.627

Copyright © The Korean Mathematical Society.

Sandwich theorems for higher-order derivatives of $p$-valent functions defined by certain linear operator

Mohamed K. Aouf and Tamer M. Seoudy

Mansoura University, Fayoum University

Abstract

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of $p$-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

Keywords: analytic function, Hadamard product, differential subordination, superordination, linear operator

MSC numbers: 30C45