一类解析函数的二阶汉克尔行列式

Mathematica Pannonica Pub Date : 2019-03-19 DOI:10.1556/314.2021.00009

M. Obradovic, N. Tuneski

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引用次数: 6

摘要

设在单位圆盘B中为解析式并归一化，使f (z) = z + a2z2 + a3z3 +܁܁܁。本文给出了一类α阶星形函数、Ozaki近凸函数和另外两类解析函数的二阶Hankel行列式的上界。其中一些估计是尖锐的。

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Hankel Determinant of Second Order for Some Classes of Analytic Functions

Let ƒ be analytic in the unit disk B and normalized so that ƒ (z) = z + a2z2 + a3z3 +܁܁܁. In this paper, we give upper bounds of the Hankel determinant of second order for the classes of starlike functions of order α, Ozaki close-to-convex functions and two other classes of analytic functions. Some of the estimates are sharp.

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Mathematica Pannonica

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