ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS

被引：0
|
作者：
Abdulhadi Z. [1 ]
Hajj L.E. [2 ]
机构：
[1] Department of Mathematics, American University of Sharjah, Sharjah
[2] Department of Mathematics, Carnegie Mellon University- Qatar, Doha
来源：
Journal of Mathematical Sciences | 2024年 / 280卷 / 4期
关键词：
Distortion estimate; Logharmonic mappings; Radius of starlikeness; Rotationally starlike mappings;
D O I：
10.1007/s10958-024-06927-2
中图分类号：
学科分类号：
摘要：
This paper considers a special class SL(h) of logharmonic mappings of the form f(z)=h(z)h′(z)¯, where h is analytic in the unit disk U, normalized by h(0)=0, h′(0)=1, and h(U) is starlike. For this class of functions, a distortion theorem is proved, and Bohr’s inequality along with some improvements and refinements is investigated. In addition, the radius of starlikeness and an estimate for arclength are obtained. © The Author(s) 2024.
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收藏
页码：529 / 539
页数：10
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