Ma-Minda Starlikeness of Univalent Functions

作     者：Lecko, Adam Madhumitha, Saravanarasu Ravichandran, Vaithiyanathan 

作者机构：Univ Warmia & Mazury Fac Math & Comp Sci Dept Complex Anal Ul Sloneczna 54 PL-10710 Olsztyn Poland Kongu Engn Coll Dept Math Perundurai 638060 Tamilnadu India Natl Inst Technol Dept Math Trichy 620015 Tamilnadu India 

出 版 物：《RESULTS IN MATHEMATICS》 (Results Math.)

年 卷 期：2025年第80卷第2期

页      面：1-11页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Starlike functions subordination radius problem uniformly convex functions Ma-Minda starlike functions 

摘      要：A normalized analytic function f defined on the unit disk is Ma-Minda starlike (with respect to phi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end{document}) if the quantity zf (z)/f(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$zf (z)/f(z)$$\end{document} is subordinate to the function phi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end{document}. The radius of starlikeness and parabolic starlikeness of the class S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {S}$$\end{document} of univalent functions on the unit disk are well-known. In this paper, we determine the radii of functions in S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {S}$$\end{document} to belong to several well-known classes of Ma-Minda starlike functions.