论文标题

带固定分析部分的谐波映射的半径特性

Radius Properties of Harmonic Mappings with Fixed Analytic Part

论文作者

Gangania, Kamaljeet

论文摘要

我们调查了谐波映射$ f = h+\ bar {g} $在设备磁盘中定义的,其中$ g $和$ h $满足某些规定的条件,分析部分$ h $属于MA和Minda类似Starlike功能。建立了某些尖锐的半径结果,即近距离,接近倾斜度,完全散发性,完全凸度和强烈的星光度的半径。我们还计算了这些功能均匀的星光度和凸度的半径。几个结果增强了众所周知的半径结果。

We investigate harmonic mappings $f=h+\bar{g}$ defined in the unit disk, where $g$ and $h$ satisfy certain prescribed conditions and the analytic part $h$ belongs to the Ma and Minda class of starlike functions. Certain sharp radius results for univalency, close-to-convexity, fully starlikeness, fully convexity, and radius of strongly starlikeness are established. We also calculate the radius of uniformly starlikeness and convexity for these functions. Several results enhance the well-known radius results.

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