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| Hadamard's Principal Value of the Singular Integral |
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Citation： |
Wang Chuanrong.Hadamard's Principal Value of the Singular Integral[J].Chinese Annals of Mathematics B,1982,3(2):195~202 |
| Page view： 812
Net amount： 693 |
Authors： |
Wang Chuanrong; |
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| Abstract： |
In this paper we consider the Hadamard’s principal value for the singular
integral
$\[\int_L {\frac{{f(\tau )}}{{{{(\tau - t)}^{n + 1}}}}} d\tau \]$,
where L is a smooth curve on the complex plane, t is any point on L, but it is not the end point of L, n is a non-negative integer. We obtain the following result: |
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