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(mathematics) Any function that is a solution of the Bessel equation

Bessel functions describe the radial part of vibrations of a circular membrane.

(mathematics) Any function that is a solution of the Bessel equation

Plot of Bessel function of the first kind, ${\displaystyle J_{\alpha }(x)}$, for integer orders ${\displaystyle \alpha =0,1,2}$.

(mathematics) Any function that is a solution of the Bessel equation

Plot of Bessel function of the first kind ${\displaystyle J_{\alpha }(z)}$ with ${\displaystyle \alpha =0.5}$ in the plane from ${\displaystyle -4-4i}$ to ${\displaystyle 4+4i}$.