| 高阶奇异积分的性质及其应用 |
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| 引用本文： | 高红亚. 高阶奇异积分的性质及其应用[J]. 河北大学学报(自然科学版), 1997, 0(1) |
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| 作者姓名： | 高红亚 |
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| 作者单位： | Department of Electronics，Hebei University，Baoding 071002 |
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| 摘 要： | 本文考虑二维高阶奇异积分与一维高阶奇异积分的关系式，将Ｐｏｍｐｅｉｕ公式、Ｇｒｅｅｎ公式推广到高奇性情况，然后考虑边界具有奇点的二维高阶奇异积分与一维高阶奇异积分的关系，并利用上述结果给出推广留数定理的新证明
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| 关 键 词： | 高阶奇异积分 Hadamard主值 推广的留数定理 |
The Properties of Two-Dimensional Singular Integral of High Order and Its Application |
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| Gao Hongya. The Properties of Two-Dimensional Singular Integral of High Order and Its Application[J]. Journal of Hebei University (Natural Science Edition), 1997, 0(1) |
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| Authors: | Gao Hongya |
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| Abstract: | In this paper, we consider the relationship of singular integrals of high order between one and two dimensions. Some formulas are obtained.Using these formulas, we give the new proof of the generalized Residue theorem. |
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| Keywords: | Singular integrals of high order The generalized residue theorem Hadamard principal value. |
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