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APPLICATIONS OF SUBORDINATION PRINCIPLE FOR ANALYTIC FUNCTIONS CONCERNED WITH ROGOSINSKI'S LEMMA
SELIN AYDINOĞLU,BÜLENT NAFI ÖRNEK 한국수학교육학회 2020 純粹 및 應用數學 Vol.27 No.4
In 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 bound- ary point, the estimations below of the modulus of angular derivative have been obtained.