A recursive formula for even order harmonic series
type: Item
instance of: scholarly article
title: A recursive formula for even order harmonic series
zbMATH Open document ID: 0635.65005
DOI: 10.1016/0377-0427(88)90274-9
author: Iickho Song
published in: Journal of Computational and Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: This paper utilizes Fourier series expansion of perodic functions to obtain the infinite sums of even order harmonic series \(\sum^{\infty}_{n-1}n^{-2K}\), \(K=1,2,..\). and the process does not require the calculation of Bernoulli numbers. Infinite sums of a few even order harmonic series, which are calculated using the recursive formula derived in this paper, are tabulated for easy reference.
Mathematics Subject Classification ID: 65B10
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 4034957
zbMATH Keywords: Fourier series expansion
zbMATH Keywords: perodic functions
zbMATH Keywords: infinite sums
zbMATH Keywords: harmonic series
zbMATH Keywords: recursive formula
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
full work available at URL: 0377-0427(88)90274-9
OpenAlex ID: W2089542456
cites work: Q5341895
cites work: Q3331506
cites work: Q3231324
cites work: Q3843871
description: scientific article; zbMATH DE number 4034957