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Start Over Author "Bao-qin Huang" Publisher taylor & francis ltd
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1. The C2-convergence of circle packings with bounded degree to the Riemann mapping.

Author

Bao-Qin Huang, Lan, Shi-Yi, and Dai, Dao-Qing

Subjects
*MATHEMATICAL mappings, *STOCHASTIC convergence, *RIEMANN-Hilbert problems, *RIEMANN hypothesis, *MATHEMATICAL analysis
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. [ABSTRACT FROM AUTHOR]

Published
2007
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