Publications de l’Institut Mathématique, Nouvelle Série Vol. 101[115], pp. 191–196 (2017) 

REPRESENTATION WITH MAJORANT OF THE SCHWARZ LEMMA AT THE BOUNDARYBülent Nafi Örnek, Tuğba AkyelDepartment of Mathematics, Gebze Technical University, GebzeKocaeli, TurkeyAbstract: Let $f$ be a holomorphic function in the unit disc $D$ and $\leftf\right(z)1<1$ for $\leftz\right<1$. We generalize a uniqueness portion of Schwarz’s lemma and provide sufficient conditions on the local behavior of $f$ near a finite set of boundary points that needs $f$ to be a finite Blaschke product. Keywords: Schwarz lemma; Holomorphic function; Blaschke product; Hopf’s lemma on the disc Classification (MSC2000): 30C80; 32A10 Full text of the article: (for faster download, first choose a mirror)
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