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Yayın Note on the Uniqueness Holomorphic Function on the Unit Disk(UNIV NIS, FAC SCI MATH, 2018) Akyel, Tugba; Azeroglu, Tahir AliyevLet 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.