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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 and .
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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
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