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Apr 22, 2022 at 12:04 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 22, 2022 at 11:30 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 22, 2022 at 11:26 comment added Carlo Beenakker @Pouya --- OK, I also calculated the result "manually", as requested; all poles contribute to the contour integral.
Apr 22, 2022 at 11:25 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 21, 2022 at 21:39 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 21, 2022 at 21:16 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 21, 2022 at 20:27 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 21, 2022 at 20:17 history rollback Carlo Beenakker
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Apr 21, 2022 at 20:14 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 21, 2022 at 19:57 comment added Pouya I want to know which poles is used? Any 3 poles?
Apr 21, 2022 at 19:51 comment added Pouya I do not want to use Mathematica or any computing software. I want it to be calculated manually.
Apr 21, 2022 at 19:46 comment added Carlo Beenakker I applied the Mellin inversion formula to the line $\text{Re}\,s=\gamma$ that avoids the three poles you noted in your post; the integral is then evaluated by Mathematica
Apr 21, 2022 at 19:43 comment added Pouya I don't understand your answer. Can you explain for me what did you do?
Apr 21, 2022 at 19:26 history edited Carlo Beenakker CC BY-SA 4.0
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Apr 21, 2022 at 19:09 history answered Carlo Beenakker CC BY-SA 4.0