Anger of integer order is Bessel J
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Theorem
The following formula holds for $n \in \mathbb{Z}$: $$\mathbf{J}_{n}(z)=J_n(z),$$ where $\mathbf{J}_n$ denotes an Anger function and $J_n$ denotes a Bessel function of the first kind.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 12.3.2