BESSELJ

Updated 2024-03-13 20:47:22.890000

Syntax

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

Description

Use the scalar function BESSELJ function to calculate the Bessel function of the first kind J±v(z). The BESSELJ function is defined by

J_n(x) = \sum_{k=0}^\infty \frac{(-1)^k}{k!\, \Gamma(n+k+1)} {\left(\frac{x}{2}\right)}^{n + 2k}

Where Γ(x) is the gamma function.

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, BESSELJ returns an error.

Examples

select wct.BESSELJ(1, 5);

This produces the following result.

{"columns":[{"field":"column 1","headerClass":"ag-right-aligned-header","cellClass":"ag-right-aligned-cell"}],"rows":[{"column 1":"0.000249757730211234"}]}