Talk:Zero (complex analysis)
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What is said about entire functions isn't right; no zeroes is equivalent to having a well-defined logarithm without branch points, but any function exp(f(z)) with f entire will do.
This article should surely mention the contour integral way to count zeroes (integrate the logarithmic derivative); Rouché's theorem; and perhaps the construction of functions with given zeroes (infinite products, Blaschke products).
Charles Matthews 16:27, 10 Jun 2004 (UTC)
I think this page should be merged with root(mathematics) and a reference to rouché' theorem should be given. other opinions? Hottiger 15:28, 12 April 2006 (UTC)
- I like it more this way. If merged, the new root (mathematics) will be unnecessarily biased towards complex analysis in my view. Other views? 23:26, 12 April 2006 (UTC)
[edit] naming convention
I think it would be helpful, to -at least- add the notion of "root" instead of "zero".
The "zero" of a function should simply be its value.
In other articles in wikipedia, the value of x, where a function f(x) of x has its value f(x)=0, is called a "root" of the function.
It would be helpful, to -at least- introduce the crossreference (term "root") here.
--Gotti 10:15, 12 March 2007 (UTC)
