The generalized Riemann problem of linear conjugation for polyanalytic functions of order <i>n</i> in <i>Wn</i>,<i>p</i>(<i>D</i>)

作     者：Mshimba, AS 

作者机构：Univ Dar Es Salaam Dept Math Dar Es Salaam Tanzania 

出 版 物：《ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN》 (Z. Anal. Anwend.)

年 卷 期：2001年第20卷第2期

页      面：505-512页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：polyanalytic functions Riemann problem of linear conjugation 

摘      要：We consider a homogeneous polyanalytic differential equation of order n in a simply-connected domain D with a smooth boundary partial derivativeD in the complex plane C. We pose and then prove solvability of a generalized Riemann problem of linear conjugation to the differential equation. This is done by reducing the problem into n classical Riemann problems of linear conjugation for holomorphic functions, the solution of which is available in the literature.