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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Hypergeometric solutions to the symmetric discrete Painlev equations

## Hypergeometric solutions to the symmetric discrete Painlev equationsAdd to your list(s) Download to your calendar using vCal - Kajiwara, K (Kyushu)
- Friday 03 July 2009, 15:30-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems The discrete Painlev’e equations are usually expressed in the form of system of first-order ordinary difference equations, but it is possible to reduce them to single second-order difference equations by imposing certain conditions on parameters. The former generic equations are sometimes called ``asymmetric’’, and latter ``symmetric’’, referring to the terminology of the QRT mapping. A typical example is a discrete Painlev’e II equation (dP$ In this talk, we consider the $q$-Painlev’e equation of type $widetilde{W}(A_2+A_1){(1)}$ ($q$-P$_{ m III }$) as an example, and clarify the mechanism of the above phenomena by using the birational representation of the Weyl group. This work has been done in collaboration with N. Nakazono and T. Tsuda (Kyushu Univ.). 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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