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arxiv: 1502.05126 · v1 · pith:DTD7I326new · submitted 2015-02-18 · 🧮 math.CV

An extremal problem for univalent functions

classification 🧮 math.CV
keywords functionsunivalentconstantdiskestimatesextremalgivenormalized
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For a real constant $b,$ we give sharp estimates of $\log|f(z)/z|+b\arg[f(z)/z]$ for subclasses of normalized univalent functions $f$ on the unit disk.

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