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Note on the uniqueness holomorphic function on the unit disk

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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… Click to show full 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.

Keywords: function unit; unit disk; holomorphic function

Journal Title: Filomat
Year Published: 2018

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