数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 39-48.doi: 10.1016/S0252-9602(11)60206-3

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ON HASEMAN BOUNDARY VALUE PROBLEM FOR A CLASS OF META-ANALYTIC FUNCTIONS

汪玉峰|杜金元   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, |China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2007-09-19 修回日期:2009-09-26 出版日期:2011-01-20 发布日期:2011-01-20
  • 基金资助:

    This work is supported by Tianyuan Fund of Mathematics (10626039), NNSF of China (10871150), and RFDP of Higher Eduction of China (20060486001).

ON HASEMAN BOUNDARY VALUE PROBLEM FOR A CLASS OF META-ANALYTIC FUNCTIONS

 WANG Yu-Feng, DU Jin-Yuan   

  • Received:2007-09-19 Revised:2009-09-26 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    This work is supported by Tianyuan Fund of Mathematics (10626039), NNSF of China (10871150), and RFDP of Higher Eduction of China (20060486001).

摘要:

In this article, Haseman boundary value problem for a class of meta-analytic functions is studied. The expression of solution and the condition of solvability for Haseman boundary value problem are obtained by changing the problem  discussed into the equivalent Haseman boundary value problem of bi-analytic function. And the expression of solution and the condition of solvability depend on the canonical matrix.

关键词: Meta-analytic function, bi-analytic function,  Haseman boundary value problem, canonical matrix

Abstract:

In this article, Haseman boundary value problem for a class of meta-analytic functions is studied. The expression of solution and the condition of solvability for Haseman boundary value problem are obtained by changing the problem  discussed into the equivalent Haseman boundary value problem of bi-analytic function. And the expression of solution and the condition of solvability depend on the canonical matrix.

Key words: Meta-analytic function, bi-analytic function,  Haseman boundary value problem, canonical matrix

中图分类号: 

  • 30G30