miniapl

! — Factorial / Binomial

!Y: Y!. Pervasive.

!5                ⍝ 120
!5x               ⍝ 120x

X!Y: binomial coefficient, Y choose X. Pervasive.

2!5               ⍝ 10
2x!5x             ⍝ 10x

Extends through Gamma to non-integral and complex arguments.

DOMAIN: factorial poles.