Difference between revisions of "Hyperfactorial"
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| − | 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). |
File:Domain coloring hyperfactorial.png|[[Domain coloring]] of [[analytic continuation]] of $H(n)$. | File:Domain coloring hyperfactorial.png|[[Domain coloring]] of [[analytic continuation]] of $H(n)$. | ||
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Revision as of 19:22, 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).
- Domain coloring hyperfactorial.png
Domain coloring of analytic continuation of $H(n)$.
