besselI( n, z )

The modified Bessel function of the first kind of z in Math. Defined by

$I_n(z) = i^{-n} J_n(iz)$

A solution of the differential equation

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

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

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:   besselK

Function category: Bessel functions