Differential Equations - Bessel Functions

Overview


The Bessel equation is given.
{% x^2 \frac{dy^2}{dx^2} + x\frac{dy}{dx} + (x^2 - v^2)y = 0 %}

Bessel Function


{% J_n(x) = x^n \sum_{m=0}^\infty \frac{(-1)^m x^{2m}}{2^{2m+n} m! (n+m)!} %}