SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS

Authors : Bülent Nafi ÖRNEK

Pages : 31-40

Doi:10.54559/jauist.1207927

View : 16 | Download : 8

Publication Date : 2022-12-31

Article Type : Review Paper

Abstract :In this paper, an upper bound will be found for the second coefficient in the Taylor expansion of the analytical function $pinsert ignore into journalissuearticles values(z);$ using the Jack lemma. Also, the modulus of the angular derivative of the $I_{f}insert ignore into journalissuearticles values(z);=\\frac{zp^{\\prime }insert ignore into journalissuearticles values(z);}{pinsert ignore into journalissuearticles values(z);}$ function on the unit disc will be estimated from below.
Keywords : Analytic function, Jacks lemma, Schwarz lemma