Difference between revisions of "Anger derivative recurrence"

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Revision as of 16:47, 23 May 2016

Theorem: The following formula holds: $$2 \mathbf{J}_{\nu}'(z)=\mathbf{J}_{\nu-1}(z)-\mathbf{J}_{\nu+1}(z),$$ where $\mathbf{J}_{\nu}$ denotes the Anger function.

Proof: