PlanetMath: simple pole

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simple pole

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A simple pole is a pole of order 1. That is, a meromorphic function has a simple pole at $x_0\in\mathbb{C}$ if

$\displaystyle f(z)=\frac a{z-x_0}+g(z)$

where $a\neq 0\in\mathbb{C}$ , and

"simple pole" is owned by bwebste.

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Cross-references: holomorphic, function, meromorphic, order, pole
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This is version 3 of simple pole, born on 2002-12-13, modified 2003-08-22.
Object id is 3746, canonical name is SimplePole.
Accessed 2857 times total.

Classification:

30D30 (Functions of a complex variable :: Entire and meromorphic functions, and related topics :: Meromorphic functions, general theory)

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