# Math Help - Bessel's equation

1. ## Bessel's equation

prove that :
${ \displaystyle J\scriptscriptstyle -p(x) } = ( -1)^{p} \displaystyle J\scriptscriptstyle p (x)$

2. First I'm assuming you meant to write:

$J_{-p}(x) = (-1)^{p} J_{p} (x)$ .

Chapter 11 of Mathematical methods for physicists by Arfken shows how it is done from the generating function.