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On some inequalities for the gamma and psi functions
Authors:Horst Alzer
Institution:Morsbacher Str. 10, 51545 Waldbröl, Germany
Abstract:We present new inequalities for the gamma and psi functions, and we provide new classes of completely monotonic, star-shaped, and super-additive functions which are related to $\Gamma $ and $\psi $.

Keywords:Gamma function  psi function  complete monotonicity  inequalities  star-shaped functions  super-additive functions  infinite divisibility  Laplace transform  
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