A simple pole of an analytic function is a pole of order one. That is, is an analytic function at the pole . Alternatively, its principal part is for some . It is called simple because a function with a pole of order at can be written as the product of functions with simple poles at .

# Simple Pole

## See also

Curve Divisor, Essential Singularity, Pole
*This entry contributed by Todd
Rowland*

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## Cite this as:

Rowland, Todd. "Simple Pole." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/SimplePole.html