|Jun9-12, 01:58 PM||#1|
Integral representation of the Euler-Mascheroni constant
I am trying to prove a specific representation of Euler's constant, but I am not really getting anywhere. I hoped you could help me with this one, because I looked it up on the Internet and even though the relation itself is found in many webpages, its proof is in none. The relation is
I tried integrating by parts and integrating term by term using power series, but none of them show the identity. Thanks for your help from now.
|Jun9-12, 03:07 PM||#2|
See http://www.frm.utn.edu.ar/analisisds...cion_gamma.pdf on page 15.
|Jun9-12, 03:30 PM||#3|
Thanks for the article. It comes up with a pretty good proof using the Weierstrass product of the Gamma function.
I sincerely wonder how I could not find that one with two hours of searching.
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