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Built-in Functions

Mathematical Functions

Combinatorial

HarmonicNumber

Usage

• HarmonicNumber[n] gives the n harmonic number .
• HarmonicNumber[n, r] gives the harmonic number of order .

Notes

• Mathematical function (see Section A.3.10).

• The harmonic numbers are given by

with

.

• See Section 3.2.6.

• See also: EulerGamma, PolyGamma, Zeta, Log.

• New in Version 4.

Further Examples

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