论文标题
使用普通家庭的$ k $ th衍生物共享的整个功能共享
Set shared by an entire function with its $k$-th derivatives using normal families
论文作者
论文摘要
在本文中，我们研究了一个非恒定功能$ f $的问题，该问题共享了$ \ mathcal {s} = \ {a，b，c \} $，其$ k $ -th衍生$ f^{（k）} $，其中$ a，b $ a，b $ and $ c $是任何三个不同的件。我们在\ textit {chang-fang-zalcman} \ cite {cha＆fan＆fan＆al-adm-2007}的主要结果的陈述中发现了一个差距，并在\ textit {chang-fang-zalcman}使用的方法的一些帮助下，我们已将其概括为\ textit {chextit {chextit {changit {gang-fang-fang-zalcman}的结果。作为一个应用程序，我们将著名的BR $ \ ddot {u} $ CK猜想\ cite {bru-1996}带有设置共享的想法。
In this paper, we study a problem of non-constant entire function $ f $ that shares a set $ \mathcal{S}=\{a,b,c\} $ with its $ k $-th derivative $ f^{(k)} $, where $ a, b $ and $ c $ are any three distinct complex numbers. We have found a gap in the statement of the main result of \textit{Chang-Fang-Zalcman} \cite{Cha & Fan & al-ADM-2007} and with some help of the method used by \textit{Chang-Fang-Zalcman}, we have generalized the result of \textit{Chang-Fang-Zalcman} in a more compact form. As an application, we generalize the famous Br$\ddot{u}$ck conjecture \cite{Bru-1996} with the idea of set sharing.
