Rigidity of Analytic Functions at the Boundary
نویسنده
چکیده
then f(z) = z. We will refer to this theorem as Burns-Krantz theorem. The Burns-Krantz theorem was generalized to finite Blaschke products by D. Chelst [3]. The proof of both Burns-Krantz theorem and the that of the theorem of Chelst uses Hopf lemma. In a recent paper, [1], L. Baracco, D.Zaitsev and G. Zampieri gave a new and elementary proof for the Burns-Krantz theorem ([1, proposition 3.1.]). Using this we are able to prove the following more general rigidity theorem at the boundary.
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