\[\sum_{j=0}^{n-1}\frac{x^{j}}{(j!)^{3}}=\int_{-1/2}^{n-(1/2)}\frac{x^{t}}{(%
\Gamma\left(t+1\right))^{3}}\,\mathrm{d}t-\int_{\mathscr{C}_{1}}\frac{x^{t}}{(%
\Gamma\left(t+1\right))^{3}}\frac{\,\mathrm{d}t}{e^{-2\pi it}-1}+\int_{%
\mathscr{C}_{2}}\frac{x^{t}}{(\Gamma\left(t+1\right))^{3}}\frac{\,\mathrm{d}t}%
{e^{2\pi it}-1},\]