Mathematica > Mathematics and Algorithms > Calculus > Discrete Calculus > Recurrence and Sum Functions > HarmonicNumber
Mathematica > Mathematics and Algorithms > Discrete Mathematics > Discrete Calculus > Recurrence and Sum Functions > HarmonicNumber
Mathematica > Mathematics and Algorithms > Mathematical Functions > Integer Functions > Recurrence and Sum Functions > HarmonicNumber
BUILT-IN MATHEMATICA SYMBOL

HarmonicNumber

HarmonicNumber[n]
gives the n^(th) harmonic number .

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

DetailsDetails

  • 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.
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