论文标题

Ma Minda Starlike和凸功能的第五系数的尖锐估计值

Sharp Estimate of Fifth Coefficient for Ma Minda Starlike and Convex Functions

论文作者

Giri, Surya, Kumar, S. Sivaprasad

论文摘要

\ \ noindent在本研究中,我们发现分析归一化功能的第五系数的急剧结合$ f $满足$ z f'(z)/f(z)/f(z)/f(z)\precφ(z)$当$φ$的系数满足某些条件。对于$φ$的适当选择,对Starlike功能的其他各种子类的估计值直接来自获得的结果。

\noindent In the present investigation, we find the sharp bound of fifth coefficient of analytic normalized function $f$ satisfying $z f'(z)/f(z) \prec φ(z)$ when coefficients of $φ$ satisfy certain conditions. For an appropriate choice of $φ$, the already known estimates for various other subclasses of starlike functions follow directly from the obtained result.

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