The RH boundary value problem of the k-monogenic functions

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 s...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 347; no. 2; pp. 633 - 644
Main Authors Bu, Yude, Du, Jinyuan
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.11.2008
Elsevier
Subjects
Euler operator
Exact sciences and technology
Hilbert boundary value problem
k-Monogenic
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Riemann boundary value problem
Sciences and techniques of general use
Riemann boundary value problem
Euler operator
k-Monogenic
Hilbert boundary value problem
Boundary value
Boundary value problem
Riemann problem
Mathematical analysis
Application
Euler operator;k-Monogenic;Riemann boundary value problem;Hilbert boundary value problem
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Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2008.06.050