【摘要】：單葉函數(shù)論中,單葉函數(shù)類S的系數(shù)估計是理論研究的重要部分之一.人們在取得大量研究成果的同時,還提出了很多類S的特殊子類.例如,星形函數(shù)類,凸函數(shù)類,近凸函數(shù)類等.本論文主要采用新的處理方法來研究雙單葉函數(shù)某些子類的系數(shù)估計問題.首先,介紹了系數(shù)估計的發(fā)展趨勢和一些基本概念,基本理論以及相關(guān)子類的符號和定義.其次,定義了雙單葉函數(shù)類的四個子類,即：S∑（λ,γ;φ),HS∑(α),R∑(η,γ;φ),和B∑(μ;φ).然后在研究了Erhan Deniz處理這些子類第二,三項(xiàng)系數(shù)估計問題后,提出由從屬函數(shù)定義引入函數(shù)w(z),利用w(z)系數(shù)滿足的不等式得出新的系數(shù)估計.最后,將兩個結(jié)論對比后,對本論文的工作進(jìn)行總結(jié)并提出展望.
[Abstract]:In the theory of univalent functions, the estimation of the coefficients of the class S of univalent functions is one of the important parts of the theoretical study. In addition to a lot of research results, many special subclasses of S have been proposed. For example, star function class, convex function class, nearly convex function class and so on. In this paper, a new processing method is used to study the estimation of coefficients for some subclasses of biunivalent functions. Firstly, the development trend of coefficient estimation and some basic concepts, basic theories, symbols and definitions of related subclasses are introduced. Secondly, four subclasses of biunivalent functions are defined, that is, S 鈭，

本文編號：2437971