Implication type properties for lemniscate starlike and close-to-convex mappings

被引：0
作者：
Wasim Ul Haq
Momna Bibi
机构：
[1] Abbottabad University of Science and Technology,Department of Mathematics
来源：
Analysis and Mathematical Physics | 2022年 / 12卷
关键词：
Holomorphic functions; Lemniscate starlike; Lemniscate close-to-convex; Primary 30C45; Secondary 30C80;
D O I：
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摘要：
In this present paper, we use the combination of differential operators f′(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f'(z)$$\end{document} and 1+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}$$ 1+{zf''(z)}/{f'(z)}$$\end{document} to establish some sufficient criterion for lemniscate starlike and close-to-convex holomorphic (analytic) mappings. The geometrical view point of our main results is also given. Some motivational consequences of our main theorems are also observed.
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