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Apr 4, 2018 at 23:41 comment added Christian Remling The "final statement" I was referring to was the final statement when I wrote my comment, before your edit.
Mar 27, 2018 at 6:42 vote accept aglearner
Mar 27, 2018 at 2:08 comment added Alexandre Eremenko @Christian Remling: Of course, but when you rescale the derivative changes by a factor of $2$.
Mar 27, 2018 at 2:07 history edited Alexandre Eremenko CC BY-SA 3.0
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Mar 26, 2018 at 18:45 comment added Christian Remling I don't understand your final statement. Isn't it obvious from my comment above that $|f'(z)|$ is maximized by the Mobius transformations that send $z\mapsto 0$ ?
Mar 26, 2018 at 18:27 history edited Alexandre Eremenko CC BY-SA 3.0
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Mar 26, 2018 at 18:22 history answered Alexandre Eremenko CC BY-SA 3.0