Argument Principle
If 
is Meromorphic in a region 
enclosed by a curve 
, let 
be the number ofComplex Roots of in , and 
be the number of Polesin , then
Defining
and 
gives
See also Variation of Argument
References
Duren, P.; Hengartner, W.; and Laugessen, R. S. ``The Argument Principle for Harmonic Functions.'' Math. Mag. 103, 411-415, 1996.
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