# How to treat negative integer factorial function?

Dear all,

How to deal with negative integer factorial functions? I mean what expression formula can be substituted for this?

## Answers and Replies

Vanadium 50
Staff Emeritus
Science Advisor
Education Advisor
2019 Award
I don't believe there is one. The Gamma function is the analytic continuation, but it has poles at the negative integers.

bhobba
HallsofIvy
Science Advisor
Homework Helper
The first thing you would have to do is define this "negative factorial function". Where did you find a reference to a "negative factorial function"? If this was given in some text exercise how was the negative factorial function defined?