On the dynamics of the McMullen family 𝑅(𝑧)=𝑧^{𝑚}+𝜆/𝑧^{ℓ}

Steinmetz, Norbert

doi:10.1090/S1088-4173-06-00149-4

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ISSN 1088-4173

On the dynamics of the McMullen family $R(z)=z^m +\lambda/z^{\ell}$

Author: Norbert Steinmetz
Journal: Conform. Geom. Dyn. 10 (2006), 159-183
MSC (2000): Primary 37F10, 37F15, 37F45
Posted: August 22, 2006
MathSciNet review: 2261046
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Abstract: In this note we discuss the parameter plane and the dynamics of the rational family $R(z)=z^m+\lambda/z^{\ell}$ , with $m\ge 2$ , $\ell\ge 1$ , and $0<\vert\lambda\vert<\infty$ .

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