Aydınoğlu, SelinÖrnek, Bülent Nafi2024-07-122024-07-1220201226-06572287-608110.7468/jksmeb.2020.27.4.157https://doi.org/10.7468/jksmeb.2020.27.4.157https://hdl.handle.net/20.500.12415/7117In this paper, we improve a new boundary Schwarz lemma, for analytic functions in the unit disk. For new inequalities, the results of Rogosinski's lemma, Subordinate principle and Jack's lemma were used. Moreover, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.eninfo:eu-repo/semantics/closedAccessSchwarz Lemma On The BoundaryRogosinski's LemmaAnalytic FunctionSubordinate PrincipleArticle169415727WOS:000688447200001N/A