Bessel differential equation
= Bessel differential equation
{c}
= Bessel equation
{c}
{synonym}
The Bessel differential equation of order $\nu$ is
$$
x^2y''+xy'+(x^2-\nu^2)y=0.
$$
For noninteger $\nu$, $J_\nu$ and $J_{-\nu}$ form a linearly independent pair of solutions.