Meromorphic function: Difference between revisions

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On a non-compact [[Riemann surface]], every meromorphic function can be realized as a quotient of two (globally defined) holomorphic functions. In contrast, on a compact Riemann surface, every holomorphic function is constant, while there always exist non-constant meromorphic functions.

Meromorphic functions on an [[elliptic curve]] are also known as [[elliptic function]]s.

==Footnotes==