\[U'\left(-\frac{1}{2}\mu^{2},\mu t\sqrt{2}\right)\sim\frac{(2\pi)^{\frac{1}{2}}%
\mu^{\frac{2}{3}}g(\mu)}{\phi(\zeta)}\*\left(\frac{\operatorname{Ai}\left(\mu^%
{\frac{4}{3}}\zeta\right)}{\mu^{\frac{4}{3}}}\sum_{s=0}^{\infty}\frac{C_{s}(%
\zeta)}{\mu^{4s}}+\operatorname{Ai}'\left(\mu^{\frac{4}{3}}\zeta\right)\sum_{s%
=0}^{\infty}\frac{D_{s}(\zeta)}{\mu^{4s}}\right),\]