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Oct 22 at 5:44 history edited qifeng618 CC BY-SA 4.0
added 41 characters in body
Oct 21 at 12:35 comment added Iosif Pinelis You have the Stirling asymptotics for $\Gamma(p)$ and $\Gamma(q)$, except when their arguments are close to $\pm\pi$, and you have the Stirling asymptotic for $\Gamma(p+q)$ iff $p+q\to\infty$ with $\arg(p+q)$ away from $\pm\pi$. So, it is unclear what your question is about.
Oct 21 at 4:25 history asked qifeng618 CC BY-SA 4.0