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Mathematics of Computation

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On some inequalities for the gamma and psi functions

Author: Horst Alzer
Journal: Math. Comp. 66 (1997), 373-389
MSC (1991): Primary 33B15; Secondary 26D07
MathSciNet review: 1388887
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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 $\psi$.

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Additional Information

Horst Alzer
Affiliation: Morsbacher Str. 10, 51545 Waldbröl, Germany
MR Author ID: 238846

Keywords: Gamma function, psi function, complete monotonicity, inequalities, star-shaped functions, super-additive functions, infinite divisibility, Laplace transform.
Received by editor(s): October 13, 1995
Received by editor(s) in revised form: March 4, 1996
Article copyright: © Copyright 1997 American Mathematical Society