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Meromorphic function

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Revision as of 15:53, 14 September 2021 by Pryguen (talk | changes) (Created page with "A '''meromorphic function''' is a function that is holomorphic (defined on the complex numbers, and that can be differentiated everywhere where it is defined) on all of an open set except for a set of isolated points, which are poles of the function. All rational functions, for example<math display="block"> f(z) = \frac{z^3 - 2z + 10}{z^5 + 3z - 1}, </math>are meromorphic on the whole complex plane. Category:Meromorp...")
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A meromorphic function is a function that is holomorphic (defined on the complex numbers, and that can be differentiated everywhere where it is defined) on all of an open set except for a set of isolated points, which are poles of the function.

All rational functions, for exampleare meromorphic on the whole complex plane.