Struve Function (G Dataflow)

Version:

Computes the Struve function.

x

The input argument.

Default: 0

v

The index parameter.

error in

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

Default: No error

Hv(x)

Value of the Struve function.

error out

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

Algorithm for Computing the Struve Function

For the Struve function of order v, Hv(x) is a solution of the following differential equation.

${x}^{2}\frac{{d}^{2}w}{d{x}^{2}}+x\frac{dw}{dx}+\left({x}^{2}-{v}^{2}\right)w=\frac{{4\left(0.5x\right)}^{v+1}}{\sqrt{\pi }\mathrm{\Gamma }\left(v+0.5\right)}$

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