Classical transcendental solutions of the Painlevé equations and their degeneration

2003/02/12 by Tetsu Masuda, Masuda, Tetsu
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0302026

22 pages

arxiv created 2003/02/12 · arxiv updated 2009/11/30

Abstract

We present a determinant expression for a family of classical transcendental solutions of the Painlevé V and the Painlevé VI equation. Degeneration of these solutions along the process of coalescence for the Painlevé equations is discussed.

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