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Discrete Systems and Special Functions

29th June 2009 to 3rd July 2009

Organisers: Peter Clarkson (Kent), Rod Halburd (University College London), Masatoshi Noumi (Kobe, Japan) and Adri Olde Daalhuis (Edinburgh).

Workshop Theme

The workshop will be dedicated to the relationship between the theory of integrable discrete systems and (linear and nonlinear) special functions and orthogonal polynomials, together with their applications. We expect to represent topics such as:

  • integrable lattice equations and their solutions
  • discrete Painlevé equations and q-Painlevé equations
  • elliptic special functions and integrals
  • special functions associated to Riemann surfaces
  • orthogonal polynomials and associated special functions
  • hypergeometric series
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons