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I have a question. I try to integrate this function:

Integrate[Exp[I k z]*Exp[-Sqrt[k^2 - A^2]x]*Exp[-k^2*L^2/4]/Sqrt[k^2 - A^2], 
    {k, -Infinity, -A}]

But Mathematica doesn't want to give an answer. It just prints me my integral.

The same story I have when I try to calculate the residue of this function at the infinity point, for example.

What's wrong?

Thanks.

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