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HarmonicNumber

HarmonicNumber[n]
gives the n

harmonic number

.

HarmonicNumber[n, r]
gives the harmonic number

of order r.

MORE INFORMATION

Mathematical function, suitable for both symbolic and numerical manipulation.

The harmonic numbers are given by with .

HarmonicNumber can be evaluated to arbitrary numerical precision.

HarmonicNumber automatically threads over lists.

Basic Examples (3)

First ten harmonic numbers:

Plot harmonic numbers:

Carry out sums involving harmonic numbers:

Generalizations & Extensions (5)

Applications (4)

Properties & Relations (5)

Possible Issues (3)

EulerGamma PolyGamma Zeta Log HarmonicMean ZipfDistribution

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