Acta mathematica scientia,Series B ›› 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

 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).

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

CLC Number: 

  • 30G30
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