Suppose we have two meromorphic functions $f$ and $g$. Then what is an example of such functions where then $f+g$ is not meromorphic?
2025-01-13 09:45:45.1736761545
An example of a sum of meromorphic functions that is not meromorphic itself
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No. Actually, the meromorphic functions from an open subset $D$ of $\mathbb C$ into $\mathbb C$ form a field; it particular, they are closed under addition.