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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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

DOI: http://dx.doi.org/10.1090/S0025-5718-97-00807-7
PII: S 0025-5718(97)00807-7
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