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Classical transcendental solutions of the Painlevé equations and their degeneration

Tetsu Masuda
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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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Tetsu Masuda. 2003-02-12. Classical transcendental solutions of the Painlevé equations and their degeneration. https://arxiv.org/abs/nlin/0302026

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