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$ 251 | 卷積結構與幾何函數理論--用以研究特定幾何函數理論方向的分數階微積分算子與卷積結構(英文)
作者：（印）阿米特·索尼 出版社：哈爾濱工業大學出版社 出版日期：2021-10-01 語言：簡體中文 規格：平裝 / 215頁 / 13 x 19 x 1.07 cm / 普通級/ 1-1  博客來 - 數學
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圖書名稱：卷積結構與幾何函數理論--用以研究特定幾何函數理論方向的分數階微積分算子與卷積結構(英文)
內容簡介
本書所介紹的是幾何函數理論的一部分，在這個工作中作者研究解析函數的幾何行為。黎曼-劉維爾分數運算元已經被廣泛應用，用以獲得許多單葉或多葉解析或亞純函數的不同子類的性質，例如內含關係、系數估計、偏差定理等。不同的分數運算元和卷積結構已經被應用到研究解析和亞純函數的不同子類的工作中。從屬方法、卷積結構和Miller和Mocanu所得到的結果已經被廣泛使用，並且在當今研究中得到了許多新的結果。
目錄
1 Introduction and preliminary concepts
1.1 Introduction
1.2 Preliminary results and definitions
1.2 1 Starlike functions
1.2 2 Convex functions
1.2 3 Close-to-convex functions
1.2.4 Multivalent functions
1.2.5 Certain classes of meromohic functions
1.2.6 Hadamard product\Convolution
1.2.7 Class P of flmctionswithpositive real part
1.2.8 Differential subordination and superordination
1.2.9 Strong differential subordination and superordination
1.2.10 Fractional operators
1.3 Summary
1.4 Glossary
1.5 List of publications
2 Certain New Classes of Analytic Functions
2.1 Introduction and preliminaries
2.2 Main inclusion relationship
2.3 Coefficmestimate
3 Certain Subclasses of p-Valent Analytic Functions
3.1 Introduction and preliminaries
3.2 Main inclusion relationships
3.3 Integral operator
4 A subclass of Close-to-convex Functions with Fekete-Szego Problem
4.1 Introduction and preliminaries
4.2 Properties of starlike functions
4.3 Inclusion relationships
4.4 Coefficm estimates
4.5 Covering theorem
4.6 Distortion theorem
4.7 Fekete-Szego problem
5 Certain Subclasses of Meromorphic Close-to-convex Functions
5.1 Introduction
5.2 The classes MK(A,B)and MK(t,A,B)
5.2.1 Properties of meromorphic starlike fuuctions
5.2.2 Coefficient estimates
5.2.3 Distortion theorem
5.3 The class MK(k)(λ,μ,A,B)
5.3.1 Properties ofthe class MS*(α,β)
6 Differential Subordination and Superordination results for pvalent Analytic Functions
6.1 Introduction and preliminaries
6.2 Main results
6.3 Superordination results
7 Strong Differential Subordination and Superordination
7.1 Introduction and definitions
7.2 Main results
7.3 Superordination resultsforthe operatorIδc,p
編輯手記
1.1 Introduction
1.2 Preliminary results and definitions
1.2 1 Starlike functions
1.2 2 Convex functions
1.2 3 Close-to-convex functions
1.2.4 Multivalent functions
1.2.5 Certain classes of meromohic functions
1.2.6 Hadamard product\Convolution
1.2.7 Class P of flmctionswithpositive real part
1.2.8 Differential subordination and superordination
1.2.9 Strong differential subordination and superordination
1.2.10 Fractional operators
1.3 Summary
1.4 Glossary
1.5 List of publications
2 Certain New Classes of Analytic Functions
2.1 Introduction and preliminaries
2.2 Main inclusion relationship
2.3 Coefficmestimate
3 Certain Subclasses of p-Valent Analytic Functions
3.1 Introduction and preliminaries
3.2 Main inclusion relationships
3.3 Integral operator
4 A subclass of Close-to-convex Functions with Fekete-Szego Problem
4.1 Introduction and preliminaries
4.2 Properties of starlike functions
4.3 Inclusion relationships
4.4 Coefficm estimates
4.5 Covering theorem
4.6 Distortion theorem
4.7 Fekete-Szego problem
5 Certain Subclasses of Meromorphic Close-to-convex Functions
5.1 Introduction
5.2 The classes MK(A,B)and MK(t,A,B)
5.2.1 Properties of meromorphic starlike fuuctions
5.2.2 Coefficient estimates
5.2.3 Distortion theorem
5.3 The class MK(k)(λ,μ,A,B)
5.3.1 Properties ofthe class MS*(α,β)
6 Differential Subordination and Superordination results for pvalent Analytic Functions
6.1 Introduction and preliminaries
6.2 Main results
6.3 Superordination results
7 Strong Differential Subordination and Superordination
7.1 Introduction and definitions
7.2 Main results
7.3 Superordination resultsforthe operatorIδc,p
編輯手記
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