论文标题

在更高维度的一类全体形态映射的toeplitz决定因素

Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions

论文作者

Giri, Surya, Kumar, S. Sivaprasad

论文摘要

在本文中,我们建立了从复杂Banach空间的单位球和$ \ mathbb {C}^n $的单位球上定义的类别和单位Polydisc上定义的类别的映射系数形成的某些toeplitz决定因素的尖锐界限。派生的边界为归一化函数的子类提供了一定的新结果,并在较高的维度中扩展了一些已知结果。

In this paper, we establish the sharp bounds of certain Toeplitz determinants formed over the coefficients of mappings from a class defined on the unit ball of complex Banach space and on the unit polydisc in $\mathbb{C}^n$. Derived bounds provide certain new results for the subclasses of normalized univalent functions and extend some known results in higher dimensions.

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