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SEMINARS
Solutions of Darboux Equations, its Degeneration and Painleve VI
时间  Datetime
2019-01-15 10:30 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
Chiu-Yin Tsang
单位  Affiliation
The Hong Kong University of Science and Technology
邀请人  Host
Guo-Fu Yu
报告摘要  Abstract

In this talk, we introduce a new infinite series expansion (expressed in terms of hypergeometric functions) for the solutions of the Darboux equations (the generalization of the Lame equations), and regard the special solutions of the Darboux equation as those terminating series. Moreover, we study the Darboux equations in system form, which give the elliptic Painleve VI equations by the isomonodromy deformation method. The correspondence between the special Darboux equations and the special Painleve VI equations will be also discussed.