hyperfactorial

hyper- +‎ factorial

• IPA^(key): /ˌhaɪpə(ɹ)fækˈtɔːɹi.əl/

• Audio (Southern England)

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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