Probabilities.Harmonic Method

Probabilities Class

Double Harmonic(Int32 n)

Harmonic number H(n).

#NameDescription
1nupper summation index
2non-negative integer.

Returns: Double - the harmonic number H(n).

Remarks:

The n-th harmonic number is the finite sum

H_n = sum_(k=1)^n1/k .

Domain: n integer. Defined behavior: returns the exact finite sum; it is strictly increasing in n, equals H(n,1)H(n,1) (see Dew.Math.Units.Probabilities.GenHarmonic), and satisfies H_n=psi(n+1)+gamma where gamma is the Euler-Mascheroni constant. For n <= 0 the empty sum is 0.

See Also: Probabilities.GenHarmonic