Factorial of a negative number

  • #1

Main Question or Discussion Point

Is it possible to find the factorial of a negative real number ? If possible, then what is its practical application ?
 

Answers and Replies

  • #3
D H
Staff Emeritus
Science Advisor
Insights Author
15,393
683
What about positive real numbers? Not just 1, 2, 3, ..., but also 1.5, pi, etc.

The generalization of the factorial is the gamma function. For various reasons there's an offset of one: [itex]\Gamma(n) = (n-1)![/itex]. The gamma function is defined for complex numbers as well as real numbers. The only exception are non-positive real integers. The gamma function "blows up" at 0, -1, -2, etc.
 

Related Threads on Factorial of a negative number

Replies
11
Views
3K
Replies
2
Views
804
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
4
Views
8K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
11
Views
4K
  • Last Post
Replies
20
Views
116K
Replies
16
Views
5K
Replies
2
Views
677
Replies
11
Views
7K
Top