Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 196

Connection formulas for the asymptotics ofthe fifth Painleve transcendent on the real axis. II

F.V.Andreev and A.V.Kitaev

In this work, we complete the asymptotic description of general solutions of the fifth Painleve transcendent. In particular, our results contain asymptotics of the solutions with an infinite number of poles in the neighborhood of infinity. Our results are immediately applicable to constructing the connection formulas for small- and large-time asymptotics.

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