Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (2): 263-270.

• Articles • Previous Articles     Next Articles

A Boundary Value Problem of Analytic Function by Finite Degree Parabolic Circle Packing

 LIU Fei-Lei, DAI Dao-Qing   

  1. Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275
  • Received:2009-11-25 Revised:2011-12-09 Online:2012-04-25 Published:2012-04-25
  • Supported by:

    国家自然科学基金(10771220, 11171354)资助

Abstract:

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.

Key words: Circle packing, Analytic function, Parabolic complex, Boundary value problem

CLC Number: 

  • 52C26
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