Relationship between Bessel J sub n and Bessel J sub -n
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Theorem
The following formula holds for $n \in \mathbb{Z}$, $$J_{-n}(z)=(-1)^n J_n(z),$$ where $J_{-n}$ denotes the Bessel function of the first kind.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 9.1.5
