Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 134, Issue 4, Pages 1153-1160Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-05-08050-0
Keywords
Gamma function; q-gamma function; completely monotonic functions; inequalities
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We give an infinite family of functions involving the gamma function whose logarithmic derivatives are completely monotonic. Each such function gives rise to an infinitely divisible probability distribution. Other similar results are also obtained for specific combinations of the gamma and q-gamma functions.
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