Meromorphic function: Difference between revisions

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Boriaj (talk | contribs)
Deleted the claim that "Sometimes the expression "meromorphic at a" implies holomorphic in a punctured neighborhood of a.", which is certainly wrong, since a function with an essential singularity is never consider meromorphic at the singularity.
Examples: Corrected an error
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* The [[complex logarithm]] function
*::<math> f(z) = \ln(z) </math>
*:is not meromorphic on the whole complex plane, as it cannot be defined on the whole complex plane while only excluding an isolateda set of isolated points.
* The function
*::<math> f(z) = \frac1{\sin\left(\frac{1}{z}\right)} </math>