Eulers equation, i think? leonard suskin

[jerkazoid]

leonard susskind writes this on the chalk board a little after 1/2 way in this Nova episode on String theory

http://www.pbs.org/wgbh/nova/programs/ht/qt/3013_03.html

am i writing this correctly?

Γ [1-∝(s) Γ (1-∝(t)]
__________________
Γ [z-∝(s) -∝(t)]



edit spelld his name wrong

 

[Cyosis]

Unless I am missing something it seems he missed a bracket. In the numerator there are 4 ( brackets and only 3 ) brackets.

 

[jerkazoid]

Unless I am missing something it seems he missed a bracket. In the numerator there are 4 ( brackets and only 3 ) brackets.

but other than that... I am recreating it correctly?

ok so like this right?

Γ [1-∝(s)] Γ [1-∝(t)]
__________________
Γ [z-∝(s) -∝(t)]

 

[Cyosis]

No, the "Euler equation" they are talking about looks like this:

$$\frac{\Gamma(x) \Gamma(y)}{\Gamma(x+y)}$$

So it should be:

$$\frac{\Gamma(1-\alpha(s)) \Gamma(1-\alpha(t))}{\Gamma(2-\alpha(s)-\alpha(t))}$$

A two not a z.