Formula 10.4.67

Bi' $ (-z) $~$ \pi^{- \frac{1}{2}}z^{\frac{1}{4}} \left[ \sin\left (\zeta + \frac{\pi}{4}\right)\sum_{o}^\infty (-1)^{k}d_{2k}\zeta^{2k} -\cos\left(\zeta + \frac{\pi}{4}\right) \sum_{o}^\infty (-1)^{k}d_{2k+1}\zeta^{-2k-1}\right] \qquad\left(|arg z| < \frac{2}{3}\pi\right) $

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