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對幾何函數中某些類的各個方面的研究--復變量理論(英文)/國外優秀數學著作原版系列 版權信息
- ISBN:9787560398686
- 條形碼:9787560398686 ; 978-7-5603-9868-6
- 裝幀:一般膠版紙
- 冊數:暫無
- 重量:暫無
- 所屬分類:>
對幾何函數中某些類的各個方面的研究--復變量理論(英文)/國外優秀數學著作原版系列 內容簡介
本書的目的是研究與解析函數理論的幾何性質有關的較新的主題。本書共分為五章,**章為基本定義與概念;第二章介紹了用某些算子的從屬性質定義的單葉函數、亞純單葉函數和多葉函數的某些子類的一些性質;第三章為給出了分數階微積分方法的單葉函數和帶負系數的一致凸函數的新類,具體內容包括與一致凸函數的某種類有關的分數階微積分算子、用霍洛夫(Hohlov)算子定義的分數階微積分算子應用的單葉函數的新類等;第四章給出了調和單葉函數的某些類的一些結果;第五章闡述了用魯舍維(Ruscheweh)導數算子定義的單葉函數和多葉函數的微分從屬性質。
對幾何函數中某些類的各個方面的研究--復變量理論(英文)/國外優秀數學著作原版系列 目錄
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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