Eikonal Blog

2010.01.04

Mellin-Barnes integrals

Filed under: mathematics — Tags: , — sandokan65 @ 20:02

\int_{-i\infty}^{+i\infty} \Gamma(\alpha+s) \Gamma(\beta+s) \Gamma(\gamma-s) \Gamma(\delta-s) ds = 2\pi i \frac{\Gamma(\alpha+\gamma)\Gamma(\beta+\gamma)\Gamma(\alpha+\delta)\Gamma(\beta+\delta)}{\Gamma(\alpha \beta+\gamma+\delta)}

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