About asymptotic expansion of parabolic cylinder functions

Question

Let's have the parabolic cylinder function $U(a,z)$. I'm interested in its asymptotics for large argument $z$. Here I've found it, but I'm a bit confuzed now because of expressions $(12.9.1)$ and $(12.9.3)$. The first one is valid if $$ \tag 1 |\text{arg}(z)| < \frac{3\pi}{4}, $$ while the second one is valid for $$ \tag 2 \frac{\pi}{4} < |\text{arg}(z)| < \frac{5 \pi}{4} $$ The second one expression is, however, radically different from the first one, while conditions $(2)$ and $(1)$ are particularly overlapped. For my case, the phase is $ \frac{\pi}{4}, \frac{3 \pi}{4}$. So is the formula $(12.9.1)$ correct for my case? Maybe, there must be $\frac{\pi}{4}$ instead of $\frac{3\pi}{4}$ in $(1)$?