If the Gamma function [tex]\Gamma (z) = \int_0^{\infty} t^{z-1} e^{-t}\;dt[/tex] only converges for [itex]\text{Re}(z)>0[/itex] then why is, for example, [itex]\Gamma (-1+i)[/itex] defined when clearly [itex]\text{Re} (-1+i)<0[/itex] ?(adsbygoogle = window.adsbygoogle || []).push({});

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# Homework Help: Gamma Function

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