论文标题

某些涉及指数函数的某些单价函数的初始连续系数

Initial successive coefficients for certain classes of univalent functions involving the exponential function

论文作者

Shi, Lei, Wang, Zhi-Gang, Su, Ren-Li, Arif, Muhammad

论文摘要

令$ \ mathcal {s} $表示单位磁盘$ \ mathbb {d}中的所有函数的家族的家族:= \ {z:| | | | | <1 \} $和满足$ f(0)= f^f^{\ prime}(\ prime}(0)-1 = 0 $。在本文中,我们考虑了与指数函数相关的单价函数的某些子类,并在初始系数上获得尖锐的上限以及属于这些类别功能的函数的初始连续系数差。

Let $\mathcal{S}$ denote the family of all functions that are analytic and univalent in the unit disk $\mathbb{D}:=\{z: |z|<1\}$ and satisfy $f(0)=f^{\prime}(0)-1=0$. In the present paper, we consider certain subclasses of univalent functions associated with the exponential function, and obtain the sharp upper bounds on the initial coefficients and the difference of initial successive coefficients for functions belonging to these classes.

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