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 problems

Add to your list(s) Download to your calendar using vCal

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity