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BesselK function

BESSELK(x,n) returns the modified Bessel function of the second kind (also called the Basset function) of order n evaluated at x. x must be greater than 0. n is the order of the Bessel function; if it is not an integer, it is truncated.

The modified Bessel function of the second kind is defined as:

$$ K_n(x) = \frac{\pi}{2} \cdot \frac{I_{-n}(x) - I_n(x)}{\sin(n\pi)} $$

Unlike BESSELY, the function BESSELK is always positive and decays exponentially as x increases.

Examples

BESSELK(1,0) equals 0.4210244

BESSELK(1,1) equals 0.6019072

Calculator

BesselK ,  1.656441128011

Graph

BesselK function

Graph for different order parameters n

BesselK function

Related functions

External links