RESULTS ASSOCIATED WITH THE SCHWARZ LEMMA ON THE BOUNDARY

Abstract

In this paper, some estimations will be given for the analytic functions belonging to the class R (& alpha;). In these estimations, an upper bound and a lower bound will be determined for the first coefficient of the expansion of the analytic function h(z) and the modulus of the angu-lar derivative of the function zh & PRIME;(z) h(z) , respectively. Also, the relationship between the coefficients of the analytical function h(z) and the derivative mentioned above will be shown.