A Boundary Value Problem of Analytic Function by Finite Degree Parabolic Circle Packing
基于有界度抛物复形的解析函数边值问题

We will discuss the relationship between finite degree circle packing mapping and the classical analytic function. We use finite degree parabolic circle packing to simulate polynomials and construct approximating sequence to the analytic function with given boundary condition and branch set. This extends earlier results of Carter and Rodin and of Dubejko on regular hexgonal circle packings.