Note on the Uniqueness Holomorphic Function on the Unit Disk

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Date

2018

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UNIV NIS, FAC SCI MATH

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info:eu-repo/semantics/closedAccess

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Abstract

Let f be an holomorphic function the unit disk to itself. We provide conditions on the local behavior of f along boundary near a finite set of the boundary points that requires f to be a finite Blaschke product.

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Keywords

Holomorphic function, Harnack inequality, Phragmen-Lindelof princible

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FILOMAT

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Q2

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Q3

Volume

32

Issue

6

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