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arxiv: 1401.4850 · v1 · pith:L2OK46H7new · submitted 2014-01-20 · 🧮 math.CA

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

classification 🧮 math.CA
keywords besselfunctionorderrespectcasesconsideredderivativederivatives
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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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