An Application of the Schur Algorithm to Variability Regions of Certain Analytic Functions II
An Application of the Schur Algorithm to Variability Regions of Certain Analytic Functions II
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Schur算法在某些解析函数变域中的应用II
DOI：
10.1017/s0004972721000964
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发表时间：
2021
影响因子：
0.7
通讯作者：
Vasudevarao Allu and Hiroshi Yanagihara
中科院分区：
文献类型：
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作者：
Md Firoz Ali;Vasudevarao Allu and Hiroshi Yanagihara
我们扩展了我们对可变性区域的研究，Ali等人。[' Schur算法在某些解析函数的可变性区域中的应用- i ', Comput。功能的方法。从凸域到星状域。设一类解析函数f in满足。作为主要结果的一个应用，我们确定了f的变异性区域。通过选取一个特例，我们得到了解析函数和一元函数的子类的精确变异性区域。
We extend our study of variability regions, Ali et al. [‘An application of Schur algorithm to variability regions of certain analytic functions–I’, Comput. Methods Funct. Theory, to appear] from convex domains to starlike domains. Let be the class of analytic functions f in with satisfying . As an application of the main result, we determine the variability region of when f ranges over . By choosing a particular , we obtain the precise variability regions of for some well-known subclasses of analytic and univalent functions.