| 无界域上的高阶奇异积分与推广留数定理 |
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| 引用本文： | 高红亚. 无界域上的高阶奇异积分与推广留数定理[J]. 河北省科学院学报, 1996, 13(4): 1-5 |
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| 作者姓名： | 高红亚 |
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| 作者单位： | 河北大学电子与信息工程系 |
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| 摘 要： | 本文考虑在两类（第一类与第二类）无界多连域上的高阶奇异积分的定义式，得到其在主值意义下的表达式。最后给出无界域上推广留数定理的新证明
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| 关 键 词： | 】高阶奇异积分，主值，推广留数定理 |
SINGULAR INTEGRALS OF HIGH ORDER AND THE GENERALIZED RESIDUE THEOREM IN THE UNBOUNDED DOMAINS |
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| Gao Hongya. SINGULAR INTEGRALS OF HIGH ORDER AND THE GENERALIZED RESIDUE THEOREM IN THE UNBOUNDED DOMAINS[J]. Journal of The Hebei Academy of Sciences, 1996, 13(4): 1-5 |
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| Authors: | Gao Hongya |
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| Affiliation: | Gao Hongya |
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| Abstract: | In this paper,we consider the definitions of high order singular integrals in the two kinds (the first and the second kind)of unbounded multi connected domains.The representative formulas under principal value are obtained.In the last,we give the new proof of the generalized Residue theorem in the unbounded domains. |
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| Keywords: | Singular integral of high order Principal value The generalized Residue theorem |
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