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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The q-Painlev equations arising from the q-interpolation problems

## The q-Painlev equations arising from the q-interpolation problemsAdd to your list(s) Download to your calendar using vCal - Yamada, Y (Kobe University)
- Tuesday 09 July 2013, 10:00-10:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems For the polynomials P(x), Q(x) obtained by a Pad (or Chauchy-Jacobi) interpolation: Y (xi) = P(xi)=Q(xi), we consider the contiguity relations satisfied by the functions P(x) and Y (x)Q(x). In a suitable setup of the interpolation problem, the contiguity relations can be interpreted as a Lax pair for a discrete Painlev equation. In this sense, the Pad interpolation order a cheap way to get a Lax pair of discrete Painlev equations together with their special solutions. In this talk, I will discuss this method in some examples of the q-Painlev equations. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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