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This book is a collection of most published papers in the idea of certain classes of analytic functions with complex order.This book consists of seven chapters , organized as follows . In chapter 1 , we introduce some interesting definitions of univalent and p-valent functions.In chapters 2,3,4, and 5 , we introduced and studied some interesting classes of analytic and univalent functions with complex order and obtained numerous sharp results for these classes.In chapter 6 we studied and derived several interesting properties of two classes of analytic functions with bounded boundary rotation and bounded argument with complex order. In chapter 7 we studied and derived several interesting properties of two classes of p- valent functions with complex order.All results obtained in this book are sharp.

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M. K. Aouf is an Egyptian mathematician working as Prof. of Pure Math. at Mansoura Univ. He has written more than 250 scientific papers. He obtained the State Prize Egyptian Acad. Sci. two times(1989 & 1995), Abd-Al-Hamid Shouman prize(1990) and Gold prize awarded by the Teleesio-Galilei Acad. Sci. (2011). He obtained D.Sc. in Pure Math.(2012).

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