An Isaac Newton Institute Workshop

Painleve Equations and Monodromy Problems: Recent Developments

Tau function in the confluent case

Author: MATSUDA, Kazuhide (Osaka University Department of Mathematics Graduate School of Science)

Abstract

Miwa-Jimbo constructed tau function with asymptotic expansion`s parameters, by moving z of theta function`s variables, not period. Kitaev-Korotkin made tau function with regular singular points deformation parameters, by moving period of theta function. We wish to construct tau function by moving both z and period.