论文标题

具有固定第二系数的分析功能的某些子类

Certain subclasses of Analytic Functions with Fixed Second Coefficient

论文作者

Kumar, Sushil, Anand, Swati, Jain, Naveen Kumar

论文摘要

本文的目的是在开放单元磁盘上定义了一些固定的第二系数,以追求一些标准化的分析功能$ f $,以便$ {(1+z)^2f(z)}/{z} $和$ {(1+z)f(z)f(z)}/{z} $起作用。对于此类功能,计算了强烈的星光度,宽松的星光度,抛物面性星状符合度和其他星状估计的半径。还显示了计算的半径估计值与现有估计的相关连接。

This paper aims to pursue some classes of normalized analytic functions $f$ with fixed second coefficient defined on open unit disk, such that ${(1+z)^2f(z)}/{z}$ and ${(1+z)f(z)}/{z}$ are functions having positive real part. The radius of strongly starlikeness, the radius of lemniscate starlikeness, the radius of parabolic starlikeness and other starlikeness estimates are calculated for such functions. As well relevant connections of computed radii estimates with the existing one are also shown.

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