Akyel, TuğbaÖrnek, Bülent Nafi2024-07-122024-07-122019Akyel, T. ve Örnek, B. N. (2019). On the rigidity part of Schwarz Lemma at the boundary. International Conference of Mathematical Sciences (ICMS 2019). s. 60.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2086We consider the rigidity part of Schwarz Lemma. Let f be a holomorphic function in the unit disc D and |?f(z)| < 1 for |z| < 1. We generalize rigidity of holomorphic function and provide sufficient conditions on the local behaviour of f near a finite set of boundary points that needs f to be a finite Blaschke product. For a different version of the rigidity theorems of D. Burns-S.Krantz and D. Chelst, we present some more general results used the bilogaritmic concave majorants. The strategy of these results relies on a special version of Phragmen-Lindel¨of princible and Harnack inequalityenCC0 1.0 Universalinfo:eu-repo/semantics/openAccessHolomorphic functionBilogarithmic concave majorantHarnack inequalityPhragmen-Lindelf princibleArticle6060