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Jan 28, 2023 at 6:02 comment added Fedor Petrov If $a<0$, the integral $\int_0^\infty \frac{z^{-a}}{z+e^{-iy}}dz$ diverges, so I would start with noting the symmetry $a\leftrightarrow -a$, dealing the case $a=0$ separately and assuming $a>0$ after that
Jan 28, 2023 at 5:46 history edited Fedor Petrov CC BY-SA 4.0
deleted 1 character in body
Jul 11, 2022 at 7:18 vote accept Timothy Budd
Jun 29, 2022 at 7:01 history edited Timothy Budd CC BY-SA 4.0
Changed a to -a in the derivation.
Jun 29, 2022 at 6:56 history answered Timothy Budd CC BY-SA 4.0