Harmonic spirallike functions and harmonic strongly starlike functions

被引：0
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作者：
Xiu-Shuang Ma
Saminathan Ponnusamy
Toshiyuki Sugawa
机构：
[1] Tohoku University,Graduate School of Information Sciences
[2] Indian Institute of Technology Madras,Department of Mathematics
来源：
Monatshefte für Mathematik | 2022年 / 199卷
关键词：
Harmonic mapping; -argument; Spirallike functions; Strongly starlike functions; Convolution; Primary 30C55; Secondary 30C45; 31A05;
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摘要：
In this note, we define two subclasses of normalized harmonic univalent functions of the unit disk, spirallike functions and strongly starlike functions, which preserve a hereditary property and have nice analytic and geometric characterizations. We also investigate the uniform boundedness and quasiconformal extendability of strongly starlike functions. Some coefficient conditions can be given for strong starlikeness and spirallikeness. We consider a special form of harmonic functions as an application.
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页码：363 / 375
页数：12
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