... function; for example, this leads to the distortion and growth estimates for univalent functions as well as the rotation theorem. In the next theorem, we derive thedistortion and growth estimates for ... Inequalities and Applications 2011, 2011:100http://www.journalofinequalitiesandapplications.com/content/2011/1/100Page 2 of 7the upper estimates for |f’(z)| and |f(z)| are sharp for the function ... t) be analytic in for each t Î (0, Î), F(z,0)=f(z),f ∈ S and F(0, t)= 0for each t Î (0, Î). Suppose that F(z, t) ≺ f(z) and thatlimt→0+F( z , t) −f (z)ztρ= F(z)exists for some r >0.If...