Most of themaps near exp (z)/z have empty Fatou sets
Most of themaps near exp (z)/z have empty Fatou sets
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exp (z)/z 附近的大多数地图都有空的 Fatou 集
DOI：
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发表时间：
2018
影响因子：
0.9
通讯作者：
Li-Han Liu
中科院分区：
文献类型：
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作者：
Guo-Ping Zhan;Li-Han Liu
设Fλ(z) = λ exp (z)/z，参数λ∈c。我们考虑由所有参数λ组成的m集，其中Fλ具有空的Fatou集。它是。已知λ = 1属于m集。在本文中，我们证明λ = 1是em -集合的一个密度点，这意味着。当λ趋于1时，Fλ有一个空的Fatou集合趋于1。
Let Fλ(z) = λ exp (z)/z with parameter λ ∈ C. We consider the M-set consisting of all parameters λ for which Fλ has empty Fatou set. It is.known that λ = 1 belongs to the M-set. In this article, we show that λ = 1 is a density point of theM-set, which means that the probability.that Fλ has empty Fatou set approaches 1 as λ approaches 1.