1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Factorial function

  1. Apr 12, 2008 #1
    1. The problem statement, all variables and given/known data

    I was just wondering if
    is completely general. Does it hold even for non-integer n?

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Apr 12, 2008 #2


    User Avatar
    Homework Helper

    In general, n! is only for integers.

    (But it is possible to compute nCr for n being negative or a non-integer.)
  4. Apr 12, 2008 #3


    User Avatar
    Science Advisor

    How would you define n! for non-integer in order to have it hold?

    The gamma functions, [itex]\Gamma(z)= \int_0^\infty t^{z-1} e^{-t}dt[/itex] has the property that [itex]\Gamma(z)= (z-1)![/itex] for z a positive integer, and is defined for all z except negative integers.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook