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besselI( n, z )

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

In(z)=i−nJn(iz)

A solution of the differential equation

d2fdz2+1zdfdz−[1+n2z2]f=0

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

Real part on the real axis:

n
-10 -5 5 10 -1.5 -1.0 -0.5 0.5 1.0 1.5

Imaginary part on the real axis:

n
-10 -5 5 10 -1.5 -1.0 -0.5 0.5 1.0 1.5

Real part on the imaginary axis:

n
-10 -5 5 10 -1.5 -1.0 -0.5 0.5 1.0 1.5

Imaginary part on the imaginary axis:

n
-10 -5 5 10 -1.5 -1.0 -0.5 0.5 1.0 1.5

Real part on the complex plane:

n

Imaginary part on the complex plane:

n

Absolute value on the complex plane:

n

Related functions:   besselK

Function category: Bessel functions