BESSELK

Updated 2024-03-14 13:56:42.087000

Syntax

SELECT [westclintech].[wct].[BESSELK] (
  <@x, float,>
 ,<@n, float,>)

Description

Use the BESSELK function to calculate the modified Bessel function of the second kind Kn(x). The BESSELK function is defined by

K_n(x)=\frac{\pi}{2}i^{n+1}\left[J_n(ix)+Y_n(ix)\right]

where Jn and Yn are the BESSELJ and BESSELY functions.

Arguments

@x

is the value at which to evaluate the function. @x is an expression of type float or of a type that can be implicitly converted to float.

@n

is the order of the Bessel function. @n is an expression of type float or of a type that can be implicitly converted to float.

Return Type

float

Remarks

@n is truncated to zero decimal places.

If @n is less than zero, BESSELK returns an error.

Examples

select wct.BESSELK(2.5, 1);

This produces the following result.

{"columns":[{"field":"column 1","headerClass":"ag-right-aligned-header","cellClass":"ag-right-aligned-cell"}],"rows":[{"column 1":"0.0738908156502669"}]}