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）

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 productConvolution
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

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