Evaluation of certain complex integrals involving absolute values. (Q1855766)
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scientific article; zbMATH DE number 1861148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evaluation of certain complex integrals involving absolute values. |
scientific article; zbMATH DE number 1861148 |
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Evaluation of certain complex integrals involving absolute values. (English)
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28 January 2003
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Let \(L\) be the circle \(| z|= r\), \(r> 0\), \(\min\in \mathbb{N}_0\), \(0\leq k\not\in L\). In the present paper a formula for the integral \[ I(m,n,k,r)= \int_L {z^{m-1}\over| z-k|^{2(n+1)}}\,dz \] is given. Some consequences of the formula are presented.
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