A monotoneity property of the gamma function
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- by G. D. Anderson and S.-L. Qiu PDF
- Proc. Amer. Math. Soc. 125 (1997), 3355-3362 Request permission
Abstract:
In this paper we obtain a monotoneity property for the gamma function that yields sharp asymptotic estimates for $\Gamma (x)$ as $x$ tends to $\infty$, thus proving a conjecture about $\Gamma (x)$.References
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Additional Information
- G. D. Anderson
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Email: anderson@math.msu.edu
- S.-L. Qiu
- Affiliation: School of Science and Arts, Hangzhou Institute of Electronics Engineering (HIEE), Hangzhou 310037, People’s Republic of China
- MR Author ID: 238874
- Received by editor(s): June 20, 1996
- Communicated by: Hal L. Smith
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3355-3362
- MSC (1991): Primary 33B15; Secondary 26A48, 26D07
- DOI: https://doi.org/10.1090/S0002-9939-97-04152-X
- MathSciNet review: 1425110