generalized factorial

Definition. The [x,d]n is defined for any number x, any stepsize d and any n, except for -x{d,2d,,nd}, by


If x=n, d=1 and n then


on which it follows that [n,1]n=n!. This is why the above definition generalizes the notion of the usual factorialMathworldPlanetmath.

Title generalized factorial
Canonical name GeneralizedFactorial
Date of creation 2013-03-22 16:08:31
Last modified on 2013-03-22 16:08:31
Owner gilbert_51126 (14238)
Last modified by gilbert_51126 (14238)
Numerical id 7
Author gilbert_51126 (14238)
Entry type Definition
Classification msc 05A10