On the asymptotics of Γ_{𝑞}(𝑧) as 𝑞 approaches 1

Zhang, Ruiming

doi:10.1090/S0002-9939-2012-11407-8

On the asymptotics of $\Gamma _{q}(z)$ as $q$ approaches $1$
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Proc. Amer. Math. Soc. 141 (2013), 1343-1348 Request permission

Abstract:

In this note we give a derivation of the asymptotic main term for the $q$-Gamma function $\Gamma _{q}\left (z\right )$ as $q$ approaches $1$. Our formula is valid for all fixed $z\in \mathbb {C}$ except non-positive integers.

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