本书的目的是研究与解析函数理论的几何性质有关的较新的主题。本书共分为五章，第一章为基本定义与概念；第二章介绍了用某些算子的从属性质定义的单叶函数、亚纯单叶函数和多叶函数的某些子类的一些性质；第三章为给出了分数阶微积分方法的单叶函数和带负系数的一致凸函数的新类，具体内容包括与一致凸函数的某种类有关的分数阶微积分算子、用霍洛夫（Hohlov）算子定义的分数阶微积分算子应用的单叶函数的新类等；第四章给出了调和单叶函数的某些类的一些结果；第五章阐述了用鲁舍维（Ruscheweh）导数算子定义的单叶函数和多叶函数的微分从属性质。

Introduction
Chapter one. Fundamental Definitions and Basic Concepts Introduction
1.1 Fundamental Definitions
1.2 Basic Concepts
Chapter Two. Some Properties of Certain Subclasses of Univalent and Meromorphic Univalent and Multivalent Functions Defined by Subordination Property with Some Operators
Introduction
2.1 Some Geometric Properties of a Certain Subclass of Univalent Functions Defined by Differential Subordination Property
2.2 Some Interesting Properties of a New Class of Univalent Functions Defined by Ruscheweyh Derivative
2.3 On a New Class of Meromorphic Univalent Functions defined by linear operator
2.4 Certain Results of a New Class of Meromorphic Multivalent Functions Involving Ruscheweyh Derivative
Chapter Three. On New classes of Univalent and Uniformly Convex Functions with Negative Coefficients by Using Fractional Calculus Techniques
Introduction
3.1 Fractional Calculus Operators Associated with a Certain Class of Uniformly Convex Functions
3.2 On a New Class of Univalent Functions with Applications of Fractional Calculus Operators Defined by Hohlov Operator
Chapter Four. Some Results of Certain Classes of Harmonic Univalent Functions
Introduction
4.1 A certain Class of Harmonic Univalent Functions Defined by Integral Operator
4.2 Some Results on Analytic Part of Harmonic Univalent Functions
Chapter Five. On Differential Subordination Properties of Univalent and Multivalent Functions Defined by Ruscheweyh Derivative Operator
Introduction
5.1 Strong Differential Subordination Properties for Multivalent Functions Defined by Ruscheweyh Derivative Operator
5.2 On Second –Order Differential Subordinations for Univalent Functions Associated with Ruscheweyh Derivative Operator
References
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