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SOME RESULTS OF THE CARATHEODORY'S INEQUALITY AT THE BOUNDARY
(KOREAN MATHEMATICAL SOC, 2018)
In this paper, a boundary version of the Caratheodory's inequality is investigated. We shall give an estimate below vertical bar f' (b)vertical bar according to the first nonzero Taylor coefficient of about two zeros, ...
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 ...