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({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Gamma Function

**Physics Forums | Science Articles, Homework Help, Discussion**