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Classical transcendental solutions of the Painlev\'e equations and their degeneration

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

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

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Cite

@article{arxiv.nlin/0302026,
  title  = {Classical transcendental solutions of the Painlev\'e equations and their degeneration},
  author = {Tetsu Masuda},
  journal= {arXiv preprint arXiv:nlin/0302026},
  year   = {2007}
}

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22 pages