Difference between revisions of "Harmonic number"
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(Created page with "The Harmonic numbers $\mathbb{H}=\{H_0,H_1,H_2,\ldots\}$ are defined by the formula $$H_n = \displaystyle\sum_{k=0}^n \dfrac{1}{k}.$$") |
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| − | The Harmonic numbers $\ | + | The Harmonic numbers $\{H_1,H_2,\ldots\}$ are defined by the formula |
| − | $$H_n = \displaystyle\sum_{k= | + | $$H_n = \displaystyle\sum_{k=1}^n \dfrac{1}{k}=1+\dfrac{1}{2}+\dfrac{1}{3}+\ldots+\dfrac{1}{n}.$$ |
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| + | =Properties= | ||
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| + | =References= | ||
| + | * {{BookReference|Special Functions|1960|Earl David Rainville|prev=Euler-Mascheroni constant|next=findme}}: $7.(2)$ | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 03:12, 5 January 2017
The Harmonic numbers $\{H_1,H_2,\ldots\}$ are defined by the formula $$H_n = \displaystyle\sum_{k=1}^n \dfrac{1}{k}=1+\dfrac{1}{2}+\dfrac{1}{3}+\ldots+\dfrac{1}{n}.$$
Properties
References
- 1960: Earl David Rainville: Special Functions ... (previous) ... (next): $7.(2)$
