A sufficient condition for starlikeness of order α
Petru T. Mocanu1and Gh. Oros2
Received28 Jan 2001
Revised12 Jun 2001
Abstract
We obtain a sufficient condition for starlikeness of order α, |f′(z)−λ(f(z)/z)+λ−1|<M=Mn(λ,α), where λ∈[0,1], α∈[0,1] and the function f(z)=z+an+1zn+1+⋯ is analytic in the unit disc U.