A recursion for alternating harmonic series

DOI10.1007/BF02936580zbMath1077.40001MaRDI QIDQ2386827

Árpád Bényi

Publication date: 25 August 2005

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

zbMATH Keywords

Fourier series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and divergence of series and sequences (40A05) Convergence and divergence of infinite limiting processes (40A99)

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Beyond the Basel problem: Euler’s derivation of the general formula for ζ (2n)

Cites Work

• A recursive formula for even order harmonic series
• On the Sums ∑ k = -∞ ∞ (4k + 1) -n
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