Math 2.0

Functions of a complex variable Concept

Order of a pole

Summary

The order of a pole cc of ff is the integer m≥1m \ge 1 with the following property. The function (z−c)mf(z)(z - c)^m f(z) extends to a holomorphic function near cc that is not 00 at cc, see the definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Zeros_and_poles, Definitions
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Tag073MWACF1K
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Aliasesmultiplicity-of-a-pole
Kindconcept
WritingW0 stub
MSC30D30

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