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

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

Bessel functions of the first kind for both positive (blue) and negative (red) real order

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