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Classical solutions of the degenerate Garnier system and their coalescence structures

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We study the degenerate Garnier system which generalizes the fifth Painlev\'{e} equation. We present two classes of particular solutions, classical transcendental and algebraic ones. Their coalescence structure is also investigated.

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Cite

@article{arxiv.math-ph/0412010,
  title  = {Classical solutions of the degenerate Garnier system and their coalescence structures},
  author = {Takao Suzuki},
  journal= {arXiv preprint arXiv:math-ph/0412010},
  year   = {2007}
}

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15 pages