\[\int_{x}^{\infty}\frac{Y_{0}\left(t\right)}{t}\,\mathrm{d}t=-\frac{1}{\pi}%
\left(\ln\left(\tfrac{1}{2}x\right)+\gamma\right)^{2}+\frac{\pi}{6}+\frac{2}{%
\pi}\sum_{k=1}^{\infty}(-1)^{k}\*\left(\psi\left(k+1\right)+\frac{1}{2k}-\ln%
\left(\tfrac{1}{2}x\right)\right)\frac{(\tfrac{1}{2}x)^{2k}}{2k(k!)^{2}},\]