A refined Schwarz inequality on the boundary |
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Abstract: | We consider a function f holomorphic in the unit disc D with f(D)???D and f(0)?=?f(z 0)?=?0, for 0?|z 0|?1. We obtain sharp lower bounds on the angular derivative f′(c) at the point c where |c|?=?|f(c)|?=?1. |
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Keywords: | Schwarz lemma on the boundary Julia–Wolff lemma |
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