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

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Description

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.
Period20 Feb 2020
Event typeGuest talk
LocationAustriaShow on map

Fields of science

  • 101013 Mathematical logic
  • 101001 Algebra
  • 101012 Combinatorics
  • 101020 Technical mathematics
  • 101 Mathematics
  • 101009 Geometry
  • 101005 Computer algebra

JKU Focus areas

  • Digital Transformation