Bogusława Karpińska (2003)
Fundamenta Mathematicae
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We prove that for some families of entire functions whose Julia set is the complement of the basin of attraction every branch of a tree of preimages starting from this basin is convergent.
Fricke, G.H., Roy, Ranjan, Shah, S.M. (1981)
International Journal of Mathematics and Mathematical Sciences
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Shah, S.M., Wiener, Joseph (1983)
International Journal of Mathematics and Mathematical Sciences
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Shunsuke Morosawa (2004)
Fundamenta Mathematicae
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We show that the Fatou components of a certain transcendental entire function have a common curve in their boundaries.
Q. I. Rahman (1965)
Annales Polonici Mathematici
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P. K. Kamthan, P. K. Jain (1969)
Annales Polonici Mathematici
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Baker, I.N., Singh, Anand P. (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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S. K. Singh (1976)
Matematički Vesnik
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A. E. Eremenko (1989)
Banach Center Publications
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Kin-Keung Poon, Chung-Chun Yang (1998)
Annales Polonici Mathematici
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We show that two permutable transcendental entire functions may have different dynamical properties, which is very different from the rational functions case.
Domar, Yngve (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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S. K. Vaish, H. S. Kasana (1982)
Publications de l'Institut Mathématique
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Baker, I.N., Domínguez, P. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Stefan Halvarsson (1996)
Annales Polonici Mathematici
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We study the growth of parameter-dependent entire functions. We are mainly interested in the case where the functions depend holomorphically on the parameter.