# Bessel Function Jv (G Dataflow)

Version:

Computes the Bessel function of the first kind.

## x

The input argument.

Default: 0

## v

Order of the Bessel function.

## error in

Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

Default: No error

## Jv(x)

Value of the Bessel function of the first kind.

## error out

Error information. The node produces this output according to standard error behavior.

## Algorithm for Computing the Bessel Function of the First Kind

For the Bessel function of the first kind of order v, Jv(x) is a solution of the following differential equation.

${x}^{2}\frac{{d}^{2}w}{d{x}^{2}}+x\frac{dw}{dx}+\left({x}^{2}-{v}^{2}\right)w=0$

The function is defined according to the following intervals for the input values.

$v\in \Im ⇒x\in \Re$
$v\in \Re \\Im ⇒x\in \left[0,\infty \right)$

This node supports the entire domain of this function that produces real-valued results. For any integer value of order v, the function is defined for all real values of x. Otherwise, the function is defined for nonnegative real values of x.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported