Abstract
We establish a reflection principle for the hyperbolic metric which has applications to geometric function theory. For instance, the reflection principle yields a number of monotonicity properties of the hyperbolic metric. The sharp form of Landau's Theorem is an immediate consequence of one of these monotonicity properties. The second main application is an interpretation of the reflection principle in terms of convexity relative to hyperbolic geometry.
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.
