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In this paper, we consider Newton's method for a class of entire functions with infinite order. By using theory of dynamics of functions meromorphic outside a small set, we find there are some series of virtual immediate basins in which the dynamics converges to infinity and a series of immediate basins with finite area in the Fatou sets of Newton's method. 相似文献
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阳卫锋 《纯粹数学与应用数学》2009,25(3):530-533
主要讨论多项式的牛顿变换Julia集的对称性问题.利用复动力系统理论,证明了多项式P(z)的Julia集的对称群是其牛顿变换Np(z)的Julia集的对称群的子群.获得了Julia集为一水平直线的充分必要条件. 相似文献
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