A recursive formula for even order harmonic series (Q1097624)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A recursive formula for even order harmonic series |
scientific article; zbMATH DE number 4034957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A recursive formula for even order harmonic series |
scientific article; zbMATH DE number 4034957 |
Statements
A recursive formula for even order harmonic series (English)
0 references
1988
0 references
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.
0 references
Fourier series expansion
0 references
perodic functions
0 references
infinite sums
0 references
harmonic series
0 references
recursive formula
0 references
