Prof. David Jeffrey: "Some families of completely monotonic functions"
Sprache des Titels:
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.