标题： 解析函数在给定边界条件下的圆盘镶嵌映射逼近 显示英文标题

标题： Approximation of analytic functions with prescribed boundary conditions by circle packing maps

摘要： 我们利用圆盘镶嵌理论的最新进展，开发了一种构造性方法，用于近似解析函数$F:\Omega \to \bold C$，方法是通过仅给定的$\Omega$、$|F'|\big|_{\Omega}$和$F$的临界点集合来提供圆盘镶嵌映射。这扩展了Ithiel Carter和Burt Rodin [CR] 对没有临界点的$F$的早期结果。 显示英文摘要

摘要： We use recent advances in circle packing theory to develop a constructive method for the approximation of an analytic function $F:\Omega \to \bold C$ by circle packing maps providing we have only been given $\Omega$, $|F'|\big|_{\Omega}$, and the set of critical points of $F$. This extends the earlier result of Ithiel Carter and Burt Rodin [CR] for $F$ with no critical points.