AuFac
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AuFac is abelfunction of factorial.
AuFac is inverse function of super factorial, $\mathrm{AuFac}=\mathrm{SuFac}^{-1}$.
Figure at right shows the explicit plot of AuFac (blue) compared to ArcFactorial (red).
References
https://www.morebooks.de/store/ru/book/Суперфункции/isbn/978-3-659-56202-0
http://www.ils.uec.ac.jp/~dima/BOOK/202.pdf
http://mizugadro.mydns.jp/BOOK/202.pdf
Д.Кузнецов. Суперфункции. Lambert Academic Publishing, 2014.
Keywords
Abelfunction, Superfunction, Superfunctions, Factorial, ArcFactorial