Connectivity of Julia sets of transcendental meromorphic functions

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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Bibliographic Details
Main Author: Taixés i Ventosa, Jordi
Other Authors: Fagella Rabionet, Núria
Format: Doctoral Thesis
Language:English
Published: Universitat de Barcelona 2011
Subjects:
Connectivitat
Meromorfa
Trascendent
Conjunt de Julia
Dinàmica complexa
Sistemes dinàmics
Holomorf
Connectivity
Meromorphic
Transcendental
Julia set
Complex dynamics
Dynamical systems
Holomorphic
Ciències Experimentals i Matemàtiques
51
Online Access:http://hdl.handle.net/10803/50391

Internet

http://hdl.handle.net/10803/50391

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