Timeline for Multiplicative integral of $\Gamma(x)$
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jul 23, 2010 at 18:32 | vote | accept | Pietro Majer | ||
| Jul 22, 2010 at 23:28 | comment | added | Wadim Zudilin | Nice to see an elegant reduction of the latter "non-elementary" integral. I worked it in on my way to the office in a more elementary way: after the change $t=\sqrt{\sin(\pi x)}$ the integral (up to constant) becomes $F'(y)|_{y=0}$ where $$F(y)=\int_0^1t^{1/2+y/2}(1-t)^{1/2}dt,$$ the Euler beta integral. | |
| Jul 22, 2010 at 18:10 | comment | added | Andrey Rekalo | $\int_0^{1} \log \sin(\pi z) \ dz=-\log (2)$ is calculated by the method of residues in this note math.ucsb.edu/~mckernan/Teaching/02-03/Autumn/202A/l_22.pdf | |
| Jul 22, 2010 at 18:09 | history | edited | Gjergji Zaimi | CC BY-SA 2.5 |
added 260 characters in body
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| Jul 22, 2010 at 17:34 | history | answered | David E Speyer | CC BY-SA 2.5 |