Difference between revisions of "Hyperfactorial"
From specialfunctionswiki
| (5 intermediate revisions by the same user not shown) | |||
| Line 4: | Line 4: | ||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | File: | + | File:Loghyperfactorialplot.png|Plot of the [[logarithm]] of the hyperfactorial on $[0,10]$ (we plot the log because $H$ increases too fast to plot alone). |
| − | |||
</gallery> | </gallery> | ||
</div> | </div> | ||
=Properties= | =Properties= | ||
| − | [[Hyperfactorial | + | [[Hyperfactorial in terms of K-function]]<br /> |
| + | |||
| + | =References= | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 19:39, 25 September 2016
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 the logarithm of the hyperfactorial on $[0,10]$ (we plot the log because $H$ increases too fast to plot alone).
Properties
Hyperfactorial in terms of K-function
