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153 views

What is this class of meromorphic functions?

Let $\hat{\mathbb{R}}$ be $\mathbb{R} \cup \{ \infty \}$, $\hat{\mathbb{I}} = i \hat{\mathbb{R}}$ and $\hat{\mathbb{C}}$ be the Riemann sphere. Let $P$ be the set of all meromorphic functions from ...
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1answer
64 views

Extending domain of a meromorphic function from non-compact to compact domain

Let $f$ be a meromorphic function with $\text{dom} (f)=\mathcal{M}$, where $\mathcal{M}$ is a non-compact Riemann surface. If $\mathcal{M}'= \mathcal{M} \cup \{\infty \}$ is the one-point ...