Results 1 to 4 of 4

Math Help - gamma function

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    18

    gamma function



    So I got a) to be 4!

    for b) do I use the same mathod, i.e gamma(n + 1) = n! ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    For (b), use the fact that \Gamma(r+1) = r\Gamma(r). (So for example \Gamma\bigl(\tfrac{12}5\bigr) = \tfrac75\Gamma\bigl(\tfrac75\bigr) = \ldots.)

    For (c), use the same method, starting with the fact that \Gamma\bigl(\tfrac12\bigr) = \sqrt\pi.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by math_help View Post


    So I got a) to be 4! Mr F says: Correct.

    for b) do I use the same mathod, i.e gamma(n + 1) = n! ?
    b) Use \Gamma (z + 1) = z \Gamma (z).

    c) Several approaches are possible eg. Use \Gamma (z + 1) = z \Gamma (z) and \Gamma \left( \frac{1}{2} \right) = \sqrt{\pi}.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Feb 2009
    Posts
    18
    thankyou, makes it very simple now!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Gamma Function
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: March 24th 2011, 09:40 PM
  2. Gamma function
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 18th 2010, 01:56 PM
  3. [SOLVED] The error function and incomplete gamma function
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: January 31st 2010, 03:24 PM
  4. gamma function
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 28th 2009, 08:05 AM
  5. Gamma function
    Posted in the Calculus Forum
    Replies: 7
    Last Post: November 21st 2008, 01:18 AM

Search Tags


/mathhelpforum @mathhelpforum