Meromorphic function
Class of mathematical function
Meromorphic function
In complex analysis, a meromorphic function on an open subset D {\displaystyle D} of the complex plane is a function that is holomorphic on all of D {\displaystyle D} except for a set of isolated points, which are poles of the function. Every meromorphic function on D {\displaystyle D} can be expressed as the ratio between two holomorphic functions (with the denominator not constant 0) defined on D {\displaystyle D} , where the poles are the zeros of the denominator.
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