# Kummer Function (G Dataflow)

Version:

Computes the Kummer, or confluent hypergeometric, function.

## x

The input argument.

Default: 0

## a

The first parameter of the Kummer function.

## b

The second parameter of the Kummer 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

## M(x, a, b)

Value of the Kummer function.

## error out

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

## Algorithm for Computing the Kummer Function

The Kummer function is a solution of the following differential equation.

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

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

$a\in \Re ,b\in \Re \\left(\left\{0,-1,-2,...\right\},\left\{x\in \Re \right\}\right)$

This node supports the entire domain of this function that produces real-valued results. For any real value of a and any real value of b except non-positive integers, the function is defined for all real values of x.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported