Riemann boundary value problems for some K-regular functions in clifford analysis |
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| Authors: | Jiang Le Du Jinyuan |
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| Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this paper, we study the Rm (m > 0) Riemann boundary value problems for regular functions, harmonic functions and bi-harmonic functions with values in a universal clifford algebra C(Vn,n). By using Plemelj formula, we get the solutions of Rm (m > 0) Riemann boundary value problems for regular functions. Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions, we obtain the solutions of Rm (m > 0) Riemann boundary value problems for harmonic functions and bi-harmonic functions. |
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| Keywords: | Riemann boundary value problem harmonic function bi-harmonic function Plemelj formula |
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