On the asymptotics of $\Gamma _{q}(z)$ as $q$ approaches $1$
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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.References
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Additional Information
- Ruiming Zhang
- Affiliation: Institute of Applied Mathematics, College of Science, Northwest A&F University, Yangling, Shaanxi 712100, Peopleβs Republic of China
- MR Author ID: 257230
- Email: ruimingzhang@yahoo.com
- Received by editor(s): October 6, 2010
- Received by editor(s) in revised form: August 19, 2011
- Published electronically: September 4, 2012
- Communicated by: Sergei K. Suslov
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 1343-1348
- MSC (2010): Primary 33D05; Secondary 33D15
- DOI: https://doi.org/10.1090/S0002-9939-2012-11407-8
- MathSciNet review: 3008881