一类解析函数的Hankel行列式

Q4 Mathematics

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2020-01-20 DOI:10.31926/but.mif.2019.61.12.2.19

A. Nistor-Serban

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引用次数: 2

摘要

在本文中，我们研究了一个函数f的系数的第二Hankel行列式H2（2）=a2a4-a23的界，该函数f属于开单位圆盘U中所有归一化解析函数的Wα，β（ξ）类，满足以下微分从属关系：（1-α+2β）f（z）/z+（α-2β）f’（z）+βzf’’（z。

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Hankel determinant for a certain subclass of analytic functions

In this paper, we investigate the bound of the second Hankel determinant H2(2) = a2a4- a23 for the coefficients of a function f belonging to the class W α,β (ϕ) of all normalized analytic functions in the open unit disk U, satisfying the following differential subordination: (1 - α + 2 β) f(z)/z + (α-2 β) f’(z) + βzf’’(z) < ϕ (z).

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来源期刊

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量