\[J_{\nu}'\left(\nu\sec\beta\right)\sim\left(\frac{\sin\left(2\beta\right)}{\pi%
\nu}\right)^{\frac{1}{2}}\*\left(-\sin\xi\sum_{k=0}^{\infty}\frac{V_{2k}(i\cot%
\beta)}{\nu^{2k}}-i\cos\xi\sum_{k=0}^{\infty}\frac{V_{2k+1}(i\cot\beta)}{\nu^{%
2k+1}}\right),\]