SpecialFunctionsHarmonicNumber(Int32) Method

The harmonic number, Hn, is a truncated sum of the harmonic series.

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

public static double HarmonicNumber(
	int n
)

Public Shared Function HarmonicNumber ( 
	n As Integer
) As Double

public:
static double HarmonicNumber(
	int n
)

static member HarmonicNumber : 
        n : int -> float

Double
The nth harmonic number.

Exceptions

Exception	Condition
ArgumentOutOfRangeException	The integer parameter n must be greater than -1.

Remarks

The harmonic number is

      n
      --
Hn =  >   1 / k
      -- 
     k = 1

The harmonic number is closely related to the digamma function. (Ref. http://mathworld.wolfram.com/HarmonicNumber.html )