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APPLICATION OF THE MONODROMY DATA METHOD TO THE FIFTH PAILEV\'E TRANSCENDENT

Youmin Lu, Zhoude Shao

Abstract


The method of isomonodromy deformation has been used to find theasymptotics of several of the Painlev\'{e} transcendents and theirconnection formulae. In this paper, the method is applied to the general fifth Painlev\'{e} transcendent where none of its parameters are assumed to be zero. Asymptotics of solutions and the corresponding monodromy data are obtained.

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