Hyperfactorial

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 $H(n)$.

Properties

Hyperfactorial at nonintegers