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BIRS Workshop Lecture Videos

Dynamics of an exponential family with one pole Montes de Oca Balderas, Marco Antonio


We study the dynamics of the family of meromorphic functions $f_{\lambda,\mu}(z)=\lambda e^z+\mu/z$ with non zero complex parameters. Each of these functions has one non omitted pole and infinitely many critical values which accumulate at zero. For certain parameters the functions have a cycle of period two of Baker domains, some of them have connectivity $\infty$ and others are simply connected.

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