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A Particular Residue Formula

  1. Sep 20, 2004 #1
    Is there a simple formula for the residue of

    [tex]\frac{e^{ik}}{\prod_j (k-is_j)}[/tex]

    where [tex]s_j[/tex] are constants ?
     
  2. jcsd
  3. Sep 20, 2004 #2

    Tide

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    I assume your variable of integration is k - correct accordingly if it is not. The residue will be just the sum over n of
    [tex]\frac{e^{s_n}}{\prod_{j \neq n} (i s_n-is_j)}[/tex]
     
  4. Sep 21, 2004 #3
    Thank you, that's exactly what wanted.
     
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