Hardy's theorem

id: hardy-s-theorem-236-15461742
title: Hardy's theorem
text: In mathematics, Hardy's theorem is a result in complex analysis describing the behavior of holomorphic functions. Let f be a holomorphic function on the open ball centered at zero and radius R in the complex plane, and assume that f is not a constant function. If one defines for 0 < r < R , then this function is strictly increasing and is a convex function of log ⁡ r .
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original url: https://en.wikipedia.org/wiki/Hardy%27s_theorem
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date modified: 2018-03-09T17:10:35Z
main entity: {"identifier":"Q4455037","url":"https://www.wikidata.org/entity/Q4455037"}
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