Can you say that even though the integral diverges and by definition ?

Specifically what I want to know is does diverge, or does it equal ?

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- January 14th 2011, 06:48 PMRandom VariableGamma function
Can you say that even though the integral diverges and by definition ?

Specifically what I want to know is does diverge, or does it equal ? - January 14th 2011, 07:12 PMchisigma
The definition...

(1)

... is valid only for . For the value of z with non positive real part You have to compute the so called 'analytic extension' of , that pratically means to use the 'Euler's formula'...

(2)

Kind regards

- January 14th 2011, 07:19 PMRandom Variable
So then diverges?

- January 14th 2011, 07:19 PMdwsmith
- January 14th 2011, 07:31 PMchisigma
- January 14th 2011, 07:33 PMdwsmith
The gamma integral doesn't converge .