> The gamma function Γ(z) is defined for all complex values of z larger than zero
What does "larger than zero" mean for complex numbers?
What does "larger than zero" mean for complex numbers?
The Wikipedia article on the gamma function
https://en.wikipedia.org/wiki/Gamma_function
states that "The gamma function is defined for all complex numbers except the non-positive integers. For complex numbers with a positive real part, it is defined via a convergent improper integral ..."
So maybe that is what the OP means: the gamma function Γ(z) can be defined by via convergent improper integral for all complex numbers of z with real part greater than zero.
?
Wikipedia then points out that:
"This integral function is extended by analytic continuation to all complex numbers except the non-positive integers (where the function has simple poles), yielding the meromorphic function we call the gamma function."
No, I had no idea what he meant. His statement about complex z larger than 0 came right after he gave a plot of gamma for real z from -6 to 6.