For \(z\in\CC\) with \(\operatorname{Re}z>0\), the gamma function is \[ \Gamma(z)\coloneqq\int_0^\infty t^{z-1}e^{-t}\dt, \] where \(t^{z-1}\coloneqq e^{(z-1)\log t}\) for \(t>0\), with \(\log\) the real natural logarithm.
Gamma function
D-Q3MYK
D-Q3MYK
For \(z\in\CC\) with \(\operatorname{Re}z>0\), the gamma function is \[ \Gamma(z)\coloneqq\int_0^\infty t^{z-1}e^{-t}\dt, \] where \(t^{z-1}\coloneqq e^{(z-1)\log t}\) for \(t>0\), with \(\log\) the real natural logarithm.