Tuğba Akyel, Tahir Aliyev Azeroğlu
Abstract
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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 that requires f to be a finite Blaschke product.
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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 that requires f to be a finite Blaschke product.
Key concepts: Holomorphic function, Unit disk, Mathematics, Blaschke product, Uniqueness, Boundary (topology), Unit (ring theory), Mathematical analysis