Twenty years of Lambert W, Prof. David Jeffrey

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Description

The year 2016 marks 20 years since the publication of the paper "On the Lambert W function". As will be pointed out, the function was studied before 1996, but this publication has proved to be the most cited reference. The talk will review some of the decisions made in defining the function, particularly in defining its branches. The talk will present some of the interesting and beautiful properties of the function, including recent work that improves on the results in the original papers. Specifically, expressions for derivatives and series expansions, the role of differences between branches, the convergence of series expansions. Some comments on implications for computer algebra systems will also be made.
Period22 Jan 2016
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

  • Computation in Informatics and Mathematics