Difference between revisions of "Anger derivative recurrence"
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$2 \mathbf{J}_{\nu}'(z)=\mathbf{J}_{\nu-1}(z)-\mathbf{J}_{\nu+1}(z),$$ | $$2 \mathbf{J}_{\nu}'(z)=\mathbf{J}_{\nu-1}(z)-\mathbf{J}_{\nu+1}(z),$$ | ||
where $\mathbf{J}_{\nu}$ denotes the [[Anger function]]. | where $\mathbf{J}_{\nu}$ denotes the [[Anger function]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
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| + | [[Category:Theorem]] | ||
Latest revision as of 05:50, 6 June 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.
