Inverse mellin transform of $\Gamma^3(s)$

Question

Is the inverse mellin transform of $\Gamma^3(s)$ known? Mathematica tells that inverse mellin transform of $\Gamma^2(s)$ is $2 K_0(2\sqrt{x})$ where $K_0(x)$ is the bessel function. I would like to know if inverse mellin transform of $\Gamma^3(s)$ exists in terms of special functions other that Meiger $G$ function.