Relationship between Bessel Y sub n and Bessel Y sub -n

Theorem

The following formula holds for $n \in \mathbb{Z}$: $$Y_{-n}(z)=(-1)^n Y_n(z),$$ where $Y_{-n}$ denotes the Bessel function of the second kind.

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 9.1.5