• Support PF! Buy your school textbooks, materials and every day products Here!

Gamma function

  • #1

Homework Statement



Prove [tex]\Gamma(1/2)[/tex] = [tex]\sqrt{\pi}[/tex]

hence proove [tex]\Gamma(3/2)[/tex] = ([tex]\sqrt{\pi}[/tex])/2

solution

i have proved the first part by using sustitution and changing to polar co ords.
To prove the the second part i guess i dont have to work it all out again. i know that [tex]\Gamma(x+1)[/tex] = x [tex]\Gamma(x)[/tex] but i cant this to help me...
 

Answers and Replies

  • #2
oh my god im an idiot, staring me in the face hahaha
 

Related Threads for: Gamma function

  • Last Post
Replies
2
Views
916
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
15
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
5
Views
1K
Top