注意与杰克引理和施瓦茨引理有关的全纯函数的一些类别

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.2298/aadm200319006m

M. Mateljevic, N. Mutavdzic, B. Örnek

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引用次数: 8

摘要

本文讨论了单位圆盘U的全纯映射f及其对应的指标If (z) = zf?(z) f(z)。我们感兴趣的是寻找函数f的生长界和相关问题，如果已知if在u上的一些性质。我们完成这种联系的主要工具是Jack?引理。作为一种特殊情况，我们得到了一些类-星形函数的增长估计以及一些有趣的推广。

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Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma

In this paper we discuss holomorphic mappings f of the unit disc U and corresponding index defined as If (z) = zf?(z) f(z). We are interested in finding bounds on the growth of functions f and related issues, if there are known some properties of If on U. Our main tool in accomplishing this connection is Jack?s lemma. As a special case, we got estimates on the growth of some classes of ?-starlike functions as well as some interesting generalisations.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.