Closed and asymptotic formulæ for harmonic and quadratic harmonic sums

• We present here a large collection of harmonic and quadratic harmonic sums, that can be useful in applied questions, e.g., probabilistic ones. We find closed-form formulae, that we were not able to locate in the literature. 

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Abel’s summation formula by parts; Combinatorial series identities and summation formulæ; Generalized harmonic numbers; Harmonic sums; Quadratic harmonic sums; Riemann Zeta function

Publikations- och innehållstyp

vet (ämneskategori)

ovr (ämneskategori)