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besselK( n, z )

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

d2fdz2+1zdfdz−[1+n2z2]f=0

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

Real part on the real axis:

n
-10 -5 5 10 -3 -2 -1 1 2 3

Imaginary part on the real axis:

n
-10 -5 5 10 -5.0 -2.5 2.5 5.0

Real part on the imaginary axis:

n
-20 -10 10 20 -3 -2 -1 1 2 3

Imaginary part on the imaginary axis:

n
-20 -10 10 20 -3 -2 -1 1 2 3

Real part on the complex plane:

n

Imaginary part on the complex plane:

n

Absolute value on the complex plane:

n

Related functions:   besselI

Function category: Bessel functions