Universality vs. non-normality of families of meromorphic functions

Bernal-González, L.; Jung, A.; Müller, J.

doi:10.1090/proc/15237

Universality vs. non-normality of families of meromorphic functions
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by L. Bernal-González, A. Jung and J. Müller PDF

Proc. Amer. Math. Soc. 149 (2021), 761-771 Request permission

Abstract:

For a family $\mathcal {F}=\{f_n:n\in \mathbb {N}\}$ of meromorphic functions on an open set $\Omega \subset \mathbb {C}$, we will establish several connections between the property that $\mathcal {F}$ is a universal family, i.e., that restrictions of $\mathcal {F}$ to suitable subsets of $\Omega$ are dense families in the corresponding function spaces, and the property that $\mathcal {F}$ is a non-normal family.

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