Formula:3922

Digital Library of Mathematical Functions ID 10.19#Ex7

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

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