N. Pillai, R. et E. Sandhya,, Distributions with complete monotone derivative and geometric infinite divisibility, Advances in applied probability , 22(3), 1990, pp. 751-754
It is shown that a distribution with complete monotone derivative is geometrically infinitely divisible and that the class of distributions with complete monotone derivative is a proper subclass of the class of geometrically infinitely divisible distributions.