Abstract
It is known that hexagonal circle packings can be used to approximate the Riemann mappings. Here, the convergence of the hexagonal circle packings is generalized to that of circle packings with bounded degree. We shall show that the first two derivatives of the bounded degree circle packings converge to the Riemann mapping function's first two derivatives, respectively; moreover we give the explicit estimates for the rates of convergence. §Dedicated to Professor Jian-Ke Lu on the ocassion of his 85th birthday.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.