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A monotoneity property of the gamma function |
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| Authors: | G. D. Anderson S.-L. Qiu |
| Affiliation: | Department of Mathematics, Michigan State University, East Lansing, Michigan 48824 ; School of Science and Arts, Hangzhou Institute of Electronics Engineering (HIEE), Hangzhou 310037, People's Republic of China |
| Abstract: | In this paper we obtain a monotoneity property for the gamma function that yields sharp asymptotic estimates for  as  tends to  , thus proving a conjecture about  . |
| Keywords: | Gamma function psi function monotoneity inequalities |
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