Difference between revisions of "Hyperfactorial"
From specialfunctionswiki
Line 11: | Line 11: | ||
=Properties= | =Properties= | ||
[[Hyperfactorial at nonintegers]]<br /> | [[Hyperfactorial at nonintegers]]<br /> | ||
+ | |||
+ | =References= | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] |
Revision as of 19:04, 25 September 2016
The hyperfactorial is defined for integers $n=1,2,3,\ldots$ by the formula $$H(n)=\displaystyle\prod_{k=1}^n k^k.$$
- Hyperfactorialplot.png
Plot of hyperfactorial on $[-1,2]$.
- Domain coloring hyperfactorial.png
Domain coloring of analytic continuation of $H(n)$.