Formula 10.4.64
\[ Bi~(-z)\sim\pi^{-\frac{1}{3}}z^{-\frac{1}{2}} \left[\text{cos} \left( \zeta + \frac{\pi}{4} \right) \sum _{0}^{\infty}{(-1)^{k}c_{2k}\zeta^{-2k}}+\text{sin}\left( \zeta + \frac{\pi}{4}\right)\sum_{0}^{\infty}{(-1)^{k}c_{2k+1}\zeta^{-2k-1}} \right]~~~(|arg~z|< \frac{2}{3}\pi)
\]