Remarks on the Yablonskii-Vorob'ev polynomials

Makoto Taneda

doi:nmj/1114631453

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Home > Journals > Nagoya Math. J. > Volume 159 > Article

2000 Remarks on the Yablonskii-Vorob'ev polynomials

Makoto Taneda

Nagoya Math. J. 159: 87-111 (2000).

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Abstract

We study the Yablonskii-Vorob'ev polynomial associated with the second Painlevé equation. To study other special polynomials (Okamoto polynomials, Umemura polynomials)associated with the Painlevé equations, our purely algebraic approach is useful.