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Seminar Details

Combinatorics and Special Functions: the Hermite Polynomials

  • Start Date: June 16, 2006
  • Event Start Time: 12:30 PM
  • Event End Time: 1:30 PM
  • Organizers: Christine Agnese
  • Seminar Series: REU Seminar
  • Presenter(s): Dominique Foata - Strasbourg University
  • Event Location: DIMACS Seminar room
  • Abstract: The classical orthogonal polynomials (Hermite, Laguerre, Jacobi, Meixner,...) form a hard kernel within the study of Special Functions. Several closed formulas are known, with explicit coefficients. Does there exist a hidden geometry that explains those formulas? For a combinatorial approach we have to introduce a sequence of discrete structures, count them in two different ways, which correspond to the two sides of the identity to be proved, finally bring an algebraic tool to put the two ways together. Illustration with the Hermite polynomials.