hyperfactorial

From hyper- +‎ factorial.

• IPA^(key): /ˌhaɪpə(ɹ)fækˈtɔːɹi.əl/

• Audio (Southern England):

  (file)

hyperfactorial (plural hyperfactorials)

1. (mathematics) The result of multiplying a given number of consecutive integers from 1 to the given number, each raised to its own power.
   For example, the hyperfactorial of 3 is 1¹ * 2² * 3³ = 1 * 4 * 27 = 108

The concept can be extended to the (real and) complex numbers and is then called the K-function.

• factorial