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## Main Question or Discussion Point

Hi, all.

I am doing an inverse Laplace transform and meeting some difficulty.

InverseLaplaceTransform[1/(Sqrt~~+a)].~~

Using Mathematica I found the result, however, I failed to prove it. I know it should be like

\frac{1}{2\pi i}\int_{\gamma-i\infty}^{\gamma+i\infty} \frac{1}{\sqrt{s}+a}ds

and I can take \gamma =0.

But, then, I cannot continue. The sqrt on the denominator killed me.

Thank you very much.

I am doing an inverse Laplace transform and meeting some difficulty.

InverseLaplaceTransform[1/(Sqrt

Using Mathematica I found the result, however, I failed to prove it. I know it should be like

\frac{1}{2\pi i}\int_{\gamma-i\infty}^{\gamma+i\infty} \frac{1}{\sqrt{s}+a}ds

and I can take \gamma =0.

But, then, I cannot continue. The sqrt on the denominator killed me.

Thank you very much.