Certain properties of Bazilevic˘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\breve{c}$$\end{document} type univalent class defined through subordinationCertain properties of Bazilevic˘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\breve{c}$$\end{document} type...T. Panigrahi et al.

被引：0

作者：

T. Panigrahi ^{[1
]}

S. Jena ^{[1
]}

R. M. El-Ashwah ^{[2
]}

机构：

[1] Institute of Mathematics and Applications,Department of Mathematics, Faculty of Science

[2] Damietta University,undefined

来源：

Afrika Matematika | 2024年 / 35卷 / 4期

关键词：

Analytic function; Subordination; Fekete–Szegö functional; Hankel determinant; Gregory coefficients; Logarithmic coefficients; Inverse coefficients; 30C45; 30C50; 30C80;

D O I：

10.1007/s13370-024-01216-2

中图分类号：

学科分类号：

摘要：

In the present paper with the aid of subordination, the authors introduce two subclasses of analytic functions denoted by Sα,β(λ)(α,β,λ∈R,α<1,β>1,λ≥0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {S}}_{\alpha , \beta }(\lambda )~~(\alpha ,~\beta ,~ \lambda \in {\mathbb {R}},~\alpha <1, \beta >1, \lambda \ge 0)$$\end{document} and G(λ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {G}}(\lambda )$$\end{document} defined in the open unit disk D:={z∈C:|z|<1}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {D}}:=\{z \in {\mathbb {C}}:|z|<1\}$$\end{document}. These subclasses are defined through a certain univalent function Sα,β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {S}}_{\alpha , \beta }$$\end{document} and the generating function of the Gregory coefficients G(λ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {G}}(\lambda )$$\end{document}. We determine upper bounds of the initial coefficients, Fekete–Szego¨\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ddot{o}$$\end{document} functional, Hankel determinant of second order, logarithmic coefficients and inverse coefficients of the functions belongs to these subclasses. Some of the corollaries of the main results are also pointed out.

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