Some applications of subordination for higher-order derivatives of p-valent functions defined by certain linear operator

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New Zealand Journal of Mathematics

Vol. 44, (2014), Pages 7-14


T. M. Seoudy

Department of Mathematics,

Faculty of Science,

Fayoum University,

Fayoum 63514,

Egypt

mailto:tms00@fayoum.edu.eg






Abstract The purpose of the present paper is to introduce subclass of pvalent functions defined by certain linear operator and to investigate various subordination properties for this subclass.

Keywords Analytic function, Differential subordination, $p-$valent function, Linear operator.

Classification (MSC2000) 30C45.

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