- Journal of Amasya University the Institute Sciences and Technology
- Vol: 3 Issue: 2
- SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS
SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS
Authors : Bülent Nafi Örnek
Pages : 31-40
Doi:10.54559/jauist.1207927
View : 16 | Download : 6
Publication Date : 2022-12-31
Article Type : Other
Abstract :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.Keywords : Analytic function, Jack’s lemma, Schwarz lemma.