Connectivity of Julia sets of transcendental meromorphic functions
Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf(z) = z – f(z) / f'(z). As a root-finding algorithm, a natural question is to understand the dynamics of Nf about its fixed points, as they correspond to the roots of the function f. In othe...
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| Format: | Doctoral Thesis |
| Language: | English |
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Universitat de Barcelona
2011
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| Online Access: | http://hdl.handle.net/10803/50391 |