Difference between revisions of "Hyperfactorial"
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(Created page with "$$H(n)=\displaystyle\prod_{k=1}^n k^k$$") |
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| − | $$H(n)=\displaystyle\prod_{k=1}^n k^k$$ | + | The hyperfactorial is defined for integers $n=1,2,3,\ldots$ by the formula |
| + | $$H(n)=\displaystyle\prod_{k=1}^n k^k.$$ | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Plot of hyperfactorial.png|Plot of hyperfactorial on $[-2,2]$. | ||
| + | File:Domain coloring hyperfactorial.png|[[Domain coloring]] of [[analytic continuation]] of $H(n)$. | ||
| + | </gallery> | ||
| + | </div> | ||
Revision as of 19:03, 25 July 2015
The hyperfactorial is defined for integers $n=1,2,3,\ldots$ by the formula $$H(n)=\displaystyle\prod_{k=1}^n k^k.$$
Plot of hyperfactorial on $[-2,2]$.
- Domain coloring hyperfactorial.png
Domain coloring of analytic continuation of $H(n)$.
