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APPLICATIONS OF JACK'S LEMMA FOR CERTAIN SUBCLASSES OF HOLOMORPHIC FUNCTIONS ON THE UNIT DISC
(KOREAN MATHEMATICAL SOC, 2019)
In this paper, we give some results on zf' (z)/f(z) for the certain classes of holomorphic functions in the unit disc E = {z : vertical bar z vertical bar< 1} and on partial derivative E {z : vertical bar z vertical bar = ...
ESTIMATES FOR HOLOMORPHIC FUNCTIONS CONCERNED WITH JACK'S LEMMA
(PUBLICATIONS L INSTITUT MATHEMATIQUE MATEMATICKI, 2018)
We investigate a boundary version of the Schwarz lemma for classes H(alpha). Also, we estimate a modulus of the angular derivative of f(z) function at the boundary point b with f (b) = b/ (beta)root 2, 0 < beta <= 1. The ...