Analyzing Functions Mapping the Unit Disk to Limaçon Domain

This paper focuses on a particular type of starlike univalent function, namely $(1-sz)(1+z)$ with $-1/3\leq s\leq 1/3$. This function maps the open unit disk $\mathbb{D}$ onto a Limaçon domain denoted by \[ \left[(u-1)^2+v^2-s^2\right]^2<(1-s)^2\left[\left(u-1-s\right)^2+v^2\right].\]    The prim...

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Bibliographic Details
Main Authors: Vali Soltani Masih, Shahram Najafzadeh
Format: Article
Language:English
Published: University of Maragheh 2024-10-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_716190_abcf4f3a42cfac7cd7de2b3add90ac68.pdf
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