# Symbols:H/Definition:General Harmonic Numbers

## General Harmonic Numbers

$H_n^{\paren r}$

Let $r \in \R_{>0}$.

For $n \in \N_{> 0}$ the Harmonic numbers order $r$ are defined as follows:

$\displaystyle H_n^{\paren r} = \sum_{k \mathop = 1}^n \frac 1 {k^r}$

The $\LaTeX$ code for $H_n^{\paren r}$ is H_n^{\paren r} .