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A Turán-type inequality for the gamma function |
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| Authors: | Horst Alzer |
| Institution: | a Morsbacher Str. 10, 51545 Waldbröl, Germany b Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland |
| Abstract: | We prove that the following Turán-type inequality holds for Euler's gamma function. For all odd integers n?1 and real numbers x>0 we have α?Γ(n−1)(x)Γ(n+1)(x)−Γ(n)2(x), |
| Keywords: | Turá n-type inequality Gamma function Psi function |
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