Anger of integer order is Bessel J

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.

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 12.3.2