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Derivatives with respect to the order of the Bessel function of the first kind

Published 20 Jan 2014 in math.CA | (1401.4850v1)

Abstract: An explicit expression of the k-th derivative of the Bessel function $J_\nu(z)$, with respect to its order $\nu$, is given. Particularizations for the cases of positive or negative $\nu$ are considered.

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