Hurwitz's theorem (complex analysis)
Limit of roots of sequence of functions / From Wikipedia, the free encyclopedia
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This article is about a theorem in complex analysis. For other uses, see Hurwitz's theorem.
In mathematics and in particular the field of complex analysis, Hurwitz's theorem is a theorem associating the zeroes of a sequence of holomorphic, compact locally uniformly convergent functions with that of their corresponding limit. The theorem is named after Adolf Hurwitz.