Rouché’s theorem

Let f,g be analytic on and inside a simple closed curve C. Suppose |f(z)|>|g(z)| on C. Then f and f+g have the same number of zeros inside C.

Title Rouché’s theorem
Canonical name RouchesTheorem
Date of creation 2013-03-22 13:35:39
Last modified on 2013-03-22 13:35:39
Owner Johan (1032)
Last modified by Johan (1032)
Numerical id 8
Author Johan (1032)
Entry type Theorem
Classification msc 30E20