Category:Examples of General Harmonic Numbers
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This category contains examples of General Harmonic Numbers.
Let $r \in \R_{>0}$.
For $n \in \N_{> 0}$ the harmonic numbers order $r$ are defined as follows:
- $\ds \map {H^{\paren r} } n = \sum_{k \mathop = 1}^n \frac 1 {k^r}$
Pages in category "Examples of General Harmonic Numbers"
The following 9 pages are in this category, out of 9 total.
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- General Harmonic Numbers/Examples
- General Harmonic Numbers/Examples/Order 1/Half
- General Harmonic Numbers/Examples/Order 1/Minus One Half
- General Harmonic Numbers/Examples/Order 1/Minus One Third
- General Harmonic Numbers/Examples/Order 1/Minus Two Thirds
- General Harmonic Numbers/Examples/Order 1/One Third
- General Harmonic Numbers/Examples/Order 1/Two Thirds
- General Harmonic Numbers/Examples/Order 2/Half
- General Harmonic Numbers/Examples/Order 2/Minus One Half