SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS

SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS

In this paper, an upper bound will be found for the second coefficient in the Taylor expansion of the analytical function $p(z)$ using the Jack lemma. Also, the modulus of the angular derivative of the $I_{f}(z)=\frac{zp^{\prime }(z)}{p(z)}$ function on the unit disc will be estimated from below.

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