Completely monotonic functions involving the gamma and q-gamma functions
Abbreviated Journal Title
Proc. Amer. Math. Soc.
Gamma function; q-gamma function; completely monotonic functions; inequalities; HARMONIC MEAN INEQUALITY; Mathematics, Applied; Mathematics
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.
Proceedings of the American Mathematical Society
"Completely monotonic functions involving the gamma and q-gamma functions" (2006). Faculty Bibliography 2000s. 6181.