The RH boundary value problem of the k-monogenic functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:347

Article

Bu Yude¹  Du Jinyuan¹ 

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

关键词: Euler operator;    k-monogenic;    Riemann boundary value problem;    Hilbert boundary value problem;   

DOI  :  10.1016/j.jmaa.2008.06.050

来源: Elsevier

【 摘 要 】

In this paper we study the Riemann and Hilbert problems of k-monogenic functions. By using Euler operator, we transform the boundary value problem of k-monogenic functions into the boundary value problems of monogenic functions. Then by the Almansi-type theorem of k-monogenic functions, we get the solutions of these problems. (C) 2008 Elsevier Inc. All rights reserved.

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