back to main page
Examples of use of n!
Combinatorics
The binomial coefficient of the natural number n and the integer k is defined to be the natural number:
and 
Partial derivative
Stirling's formula
Asymptotic series expansions
Function with n!
Gamma function.
If the real part of the complex number z is positive, then the following integral converges absolutely:
.
In particular, using integration by parts, we can show that:
.
Stirling's approximation:
http://mathworld.wolfram.com/StirlingsApproximation.html
Factorial and permutations:
http://mathworld.wolfram.com/Factorial.html
96 other formulas with this notation:
http://functions.wolfram.com/GammaBetaErf/Factorial/
Gamma and Beta functions:
http://functions.wolfram.com/GammaBetaErf/
back to main page