Anger derivative recurrence
From specialfunctionswiki
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.
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.