Second Hankel Determinant of Logarithmic Coefficients of Convex and Starlike Functions of Order Alpha

被引：0
作者：
Bogumiła Kowalczyk
Adam Lecko
机构：
[1] University of Warmia and Mazury in Olsztyn,Department of Complex Analysis, Faculty of Mathematics and Computer Science
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2022年 / 45卷
关键词：
Starlike function of order ; Convex function of order ; Carathéodory function; Hankel determinant; Logarithmic coefficient; 30C45; 30C50;
D O I：
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学科分类号：
摘要：
In the present paper, we found sharp bounds of the second Hankel determinant of logarithmic coefficients of starlike and convex functions of order α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}.
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页码：727 / 740
页数：13
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  • [11] Lecko A(1983)Coefficient bounds for the inverse of a function with derivatives in Proc. Am. Math. Soc. 58 227-241
  • [12] Choi JH(2018)Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions Kyoto J. Math. 37 374-408
  • [13] Kim YC(1936)On the theory of univalent functions Ann. Math. 144 1681-1687
  • [14] Sugawa T(2016)On logarithmic coefficients of close to convex functions Proc. Am. Math. Soc. undefined undefined-undefined
  • [15] Girela D(undefined)undefined undefined undefined undefined-undefined
  • [16] Kowalczyk B(undefined)undefined undefined undefined undefined-undefined
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