Thursday, April 05, 2012

Gamma Function (English)

AFAIK, converging of the Gamma function is proved exactly the same way as converging of the Zeta function using triangle inequity (with integrals).

Well, you should also prove that Г(2)=1!=1 (or Г(1)=0!=1 see Why zero factorial equals one? for explanation) in order to claim that Г(n+1)=n!. It is actually pretty straight forward.

There is more below.
Ниже есть продолжение.

One small note, actually, for the rigger, you should use induction. But it is straight-forward here. :-)

See the value of zeta two video, it contains the missing part of prove.

To be continued.

UPDATE 10-07-2012:


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