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Are there any known algorithms and libraries to numerically evaluate Bessel functions of the first kind $J_\nu(z)$ with complex coefficients, i.e. $\nu \in\mathbb{C} $

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Mathematica of course has what yo want ... but you probably do not want it. I understand that Bessel Function is a function of exponential decay...so I am wondering if computing the Taylor series to few hundred terms (with Stirling approximation for the Gamma function) is not an option ? –  s.b Oct 6 '12 at 0:29
Thanks. At the end that is exactly what I did. –  DmitriP Oct 9 '12 at 21:53

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