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Articles, 1 records found
Research literature, 1 records found
Articles 1 records found  
1.
27 p, 474.1 KB On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II / Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Taixés, Jordi (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Following the attracting and preperiodic cases ([5]), in this paper we prove the existence of weakly repelling fixed points for transcendental meromorphic maps, provided that their Fatou set contains a multiply-connected parabolic basin. [...]
2011 - 10.4064/fm215-2-5
Fundamenta Mathematicae, Vol. 215 (2011) , p. 177-202  
Detailed record -

Research literature 1 records found  
1.
112 p, 4.9 MB Connectivity of Julia sets of transcendental meromorphic functions / Taixés, Jordi ; Fagella Rabionet, Núria, dir. (Universitat de Barcelona. Grup de Sistemes Dinàmics) ; Jarque i Ribera, Xavier, dir. (Universitat de Barcelona)
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. [...]
[Barcelona] : Universitat de Barcelona 2011  
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