A kind of Hilbert Boundary Value Problem for generalized analytic functions in Clifford analysis

被引：0
|
作者：
Si Zhongwei [1 ]
Wang Liang [2 ]
Zhong Xia [2 ]
Xin-Lei Feng [1 ]
Liang Lina [3 ]
机构：
[1] Leshan Normal Univ, Sch Math & Informat Sci, Leshan 614004, Peoples R China
[2] Weishan 1 Middle Sch, Jining 277600, Peoples R China
[3] Leshan Normal Univ, Sch Fine Arts, Leshan 614004, Peoples R China
来源：
2013 9TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS) | 2013年
关键词：
generalized analytic function; Hilbert Boundary Value Problem; Riemann Boundary Value Problem;
D O I：
10.1109/CIS.2013.172
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Let R-0,R-n be the real Clifford algebra generated by e(1), e(2), ..., e(n) satisfying e(i)e(j) + e(j)e(i) = - 2 delta(ij) for i, j = 1, 2, ..., n. e(0) is the unit element. In this paper, we first give the kernel function for the generalized analytic function. Further, a kind of Hilbert Boundary Value Problem for generalized analytic functions in R-+(n+1) will be investigated and the solution is obtained.
引用
收藏
页码：788 / 792
页数：5
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