Some families of completely monotonic functions

Date: 20/02/2020
Time: 10:00 - 11:30

Location: RISC Seminarroom, Castle of Hagenberg

Abstract: I shall describe two families of completely monotonic functions. One family is based on the Lambert W function, and splits into two subtopics, based on the two branches which take real values. The second family is a two-parameter family proposed by Alzer and Berg in 2002. The question is to find the domain of the parameters, such that the function is completely monotonic. I gave a numerical approximation for one case in 2010, and this was improved by Berg and reported at last year's OPSFA conference held at RISC. I have new numerical and analytic results on this problem.