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arxiv: 1512.03148 · v1 · pith:SIU2P4BPnew · submitted 2015-12-10 · 🧮 math.CV

Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions

classification 🧮 math.CV
keywords diskunitanalyticcoefficientconcavefunctionspointprescribed
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In this note, we discuss the coefficient regions of analytic self-maps of the unit disk with a prescribed fixed point. As an application, we solve the Fekete-Szeg\H{o} problem for normalized concave functions with a prescribed pole in the unit disk.

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