z0 is a pole of f


Let f be an analytic functionMathworldPlanetmath on a punctured neighborhoodMathworldPlanetmath of x0𝐂, that is, f analytic on

{zC:0<|z-x0|<ε}

for some ε>0 and such that

limzz0|f(z)|=.

We say then that x0 is a pole for f.

Title z0 is a pole of f
Canonical name Z0IsAPoleOfF
Date of creation 2013-03-22 14:00:55
Last modified on 2013-03-22 14:00:55
Owner drini (3)
Last modified by drini (3)
Numerical id 7
Author drini (3)
Entry type Definition
Classification msc 30A99