besselJ( n, z )

The Bessel function of the first kind of z in Math. A solution of the differential equation

$\frac{d^2 f}{dz^2} + \frac{1}{z} \frac{df}{dz} + \left[ 1 - \frac{n^2}{z^2} \right] f = 0$

besselJ( n, x ) — the first five Bessel function of the first kind of real or complex order n of a real or complex number.

The second linearly independent solution of this equation for integer order is besselY.

Real part on the real axis:

Imaginary part on the real axis:

Real part on the imaginary axis:

Imaginary part on the imaginary axis:

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Related functions:   besselY

Function category: Bessel functions