A recursive formula for even order harmonic series

DOI10.1016/0377-0427(88)90274-9zbMath0635.65005OpenAlexW2089542456MaRDI QIDQ1097624

Iickho Song

Publication date: 1988

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90274-9

zbMATH Keywords

harmonic seriesrecursive formulaFourier series expansioninfinite sumsperodic functions

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Numerical summation of series (65B10)

Related Items (9)

On families of linear recurrence relations for the special values of the Riemann zeta function ⋮ A recursion for alternating harmonic series ⋮ The partition-frequency enumeration matrix ⋮ Bernoulli identities, zeta relations, determinant expressions, Mellin transforms, and representation of the Hurwitz numbers ⋮ Beyond the Basel problem: Euler’s derivation of the general formula for ζ (2n) ⋮ Rapidly converging series for \(\zeta(2 n + 1)\) from Fourier series ⋮ Bernoulli numbers and symmetric functions ⋮ Asymptotics of the Chebyshev–Stirling numbers of the first kind ⋮ On Dirichlet's lambda function

Cites Work

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