The generalization of Faulhaber's formula to sums of non-integral powers

DOI10.1016/j.jmaa.2006.08.019zbMath1176.11004OpenAlexW2057275807MaRDI QIDQ874963

Kevin J. McGown, Harold R. Parks

Publication date: 10 April 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.019

zbMATH Keywords

Riemann zeta functionBernoulli numbersEuler--MacLaurin summationFaulhaber's formulasums of non-integral powers

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items

Symmetric Bernoulli matrix and its Cholesky decomposition, Multivariable Faulhaber-type formulas and Barnes zeta functions, The Generalization of Faulhaber's Formula to Sums of Arbitrary Complex Powers, An elementary proof of a generalization of Bernoulli's formula, The asymptotic expansion and extrapolation of trapezoidal rule for integrals with fractional order singularities, Singular perturbation of an elastic energy with a singular weight

Cites Work

• Sums of non-integral powers
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