1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Beta function

  1. Dec 28, 2013 #1
    1. The problem statement, all variables and given/known data

    ∫(0,1) √x/√[3]1-x

    2. Relevant equations


    3. The attempt at a solution

    p-1=1/2 →p=3/2
    q-1=-1/3 →q=2/3

    β(3/2,2/3)=[itex]\Gamma[/itex](3/2) [itex]\Gamma[/itex](2/3)/[itex]\Gamma[/itex](13/6)

    [itex]\Gamma[/itex]13/6=7/6 1/6=7/36

  2. jcsd
  3. Dec 28, 2013 #2


    User Avatar
    2017 Award

    Staff: Mentor

    That looks wrong.

    Can you explain what you want to calculate, how you attempt to do this and where your problem is?
  4. Dec 28, 2013 #3
    Hello and thank you for answering.

    My problem begins with the part you quote. I don't know how to properly use the recursive formula in those cases.
    Regarding my attempt to calculate the integral, what I wrote above is everything.
  5. Dec 28, 2013 #4


    User Avatar
    2017 Award

    Staff: Mentor

    ##\Gamma(\frac{13}{6})=\frac{7}{6}\Gamma(\frac{7}{6}) =\frac{7}{36}\Gamma(\frac{1}{6})##
    For some values, an analytic expression is known, in general this doesn't work and you have to live with the expressions (or find a numerical approximation).

    There is some connections between the formulas that you could explain.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted