| Virtual and Immediate Basins of Newton's Method for a Class of Entire Functions |
| Received:June 10, 2008 Revised:January 19, 2010 |
| Key Words:
Newton's method Baker domain virtual immediate Basin Fatou set Julia set.
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| Fund Project:Supported by the Scientific Research Fund of Hunan Provincial Education Department (Grant No.06C245). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.05.021 |
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