Entringer numbers and Poupard Calculus, Prof. Dominique Foata

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Description

Refinements of the celebrated tangent and secant numbers give rise to bivariate statistical distributions that can be expressed, either by a finite difference equation system, or by a three-variate exponential generating function. The underlying combinatorial sets, counted by tangent and secant numbers, are the alternating permutations, or the André permutations of the two kinds, or still the binary increasing trees. Emphasis will be made on the calculation of the involved series.
Period13 Nov 2013
Event typeGuest talk
LocationAustriaShow on map

Fields of science

  • 101002 Analysis
  • 101013 Mathematical logic
  • 101001 Algebra
  • 101012 Combinatorics
  • 101020 Technical mathematics
  • 102 Computer Sciences
  • 101 Mathematics
  • 101009 Geometry
  • 102011 Formal languages
  • 101006 Differential geometry
  • 101005 Computer algebra
  • 101025 Number theory
  • 101003 Applied geometry
  • 102025 Distributed systems

JKU Focus areas

  • Computation in Informatics and Mathematics