`besselk`

Modified Bessel function of the second kind.

Category: Mathematics > Elementary Math

Syntax

K = besselk(nu, Z)

Returns K_nu(Z).

K = besselk(nu, Z, 1)

Returns the function scaled by exp(Z).

Description

K_nu is the second solution of the modified Bessel equation, the one that decays exponentially as z grows and blows up at the origin. It complements I_nu, which grows. Decaying kernels of this type appear in heat conduction and in the screened Coulomb potential.

Input arguments

nu: Order (real).
Z: Real or complex argument.

Output arguments

K: Values of the function.

Example

Decaying solution

besselk(0, 1)
besselk(1, [1 2])

Output

ans = 0.4210
ans = 1×2

    0.6019    0.1399

See also

besseli besselj bessely besselh