Abstract
We study some differential inequalities in the unit disc which imply starlikeness: for example if ƒ (z) = z + Σ∞ n=2 an (ƒ)zn is analytic in D = {z | |z| < 1} and |z(ƒ′′(z) − 1)| ≤ 1 − α, z∈D for some α ] [0, 1), then ƒ is one-to-one on D and ƒ (D) is a starlike domain with respect to the origin.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Complex Variables, Theory and Application: An International Journal
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
