AdvancedMathPochhammer Method

public static double Pochhammer(
	double x,
	double y
)

Public Shared Function Pochhammer ( 
	x As Double,
	y As Double
) As Double

public:
static double Pochhammer(
	double x, 
	double y
)

static member Pochhammer : 
        x : float * 
        y : float -> float 

Parameters

x  Double

The first argument.

y  Double

The second argument.

Return Value

The Pochhammer symbol is defined as a ratio of Gamma functions.

For positive integer y, this is equal to a rising factorial product.

Note that while the Pochhammer symbol notation is very common, combinatorialists sometimes use the same notation for a falling factorial.

If you need to compute a ratio of Gamma functions, in most cases you should compute it by calling this function instead of taking the quotient of two calls to the Gamma(Double) function, because there is a large fraction of the parameter space where Gamma(x+y) and Gamma(x) overflow, but their quotient does not, and is correctly computed by this method.

This function accepts both positive and negative values for both x and y.

Reference

Other Resources