某些整函数族的逃逸集与复合整函数的动力学
On escaping sets of some families of entire functions and dynamics of composite entire functions
摘要：
考虑了两个函数族$\mathcal{F}=\{f_{{\la},ξ}(z)= e^{-z+\la}+ξ: \la,\,ξ\in\C, \RE{\la}<0, \REξ\geq 1\}$和$\mathcal{F}'=\{f_{μ,{\ze}}(z)= e^{z+μ}+\ze: μ,\,\ze\in\C, \REμ<0, \RE\ze\leq-1\}$，研究了$\mathcal F$和$\mathcal F'.$中两个函数族成员的逃逸集，并考虑了复合整函数的动力学，给出了两个超越整函数的逃逸集相等的条件.
英文摘要：
We consider two families of functions $\mathcal{F}=\{f_{{\la},ξ}(z)= e^{-z+\la}+ξ: \la,\,ξ\in\C, \RE{\la}<0, \REξ\geq 1\}$ and $\mathcal{F}'=\{f_{μ,{\ze}}(z)= e^{z+μ}+\ze: μ,\,\ze\in\C, \REμ<0, \RE\ze\leq-1\}$ and investigate the escaping sets of members of the family $\mathcal F$ and $\mathcal F'.$ We also consider the dynamics of composite entire functions and provide conditions for equality of escaping sets of two transcendental entire functions.
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