Schwarz lemma and fi̇x poi̇nt at the boundary

In this study, as one of the important topics in complex analysis, a different boundary version of Schwarz lemma has been considered. In our study, considering different classes of analytical functions, boundary behaviour for the modulus of the second order angular derivative of the function has been carried out from below assuming that the function has angular limit at the boundary point. Being univalent and multivalent of examined functions has been investigated separately and the value of the function in an inner point and its derivatives from different order have been used in obtained sharp inequalities.