\[{{}_{0}F_{2}}\left(-;1,1;x\right)=\int_{-1/2}^{\infty}\frac{x^{t}}{(\Gamma%
\left(t+1\right))^{3}}\,\mathrm{d}t+2\Re\int_{-1/2}^{i\infty}\frac{x^{t}}{(%
\Gamma\left(t+1\right))^{3}}\frac{\,\mathrm{d}t}{e^{-2\pi it}-1}=\int_{0}^{%
\infty}\frac{x^{t}}{(\Gamma\left(t+1\right))^{3}}\,\mathrm{d}t+O\left(1\right),\]