Analytic solutions to the qPainlev equations around the origin
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If you have a question about this talk, please contact Mustapha Amrani.
Discrete Integrable Systems
We study special solutions to the qPainleve equations, which are analytic around the origin or the infinity. As the same as continuous Painleve equations, we have a finite number of such solutions. The qPainleve equations are epressed as a connection preserving deformation (Jimbo and Sakai in qPVI; M. Murata in other cases). We can determine the connection data for analytic solutions. In the case of qPVI, the connection data reduces to Heine’s basic hypergeometric functions.
This talk is part of the Isaac Newton Institute Seminar Series series.
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