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## 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...