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• W2900021116 abstract "We are concerned with the Umemura polynomials associated with the third Painlev'e equation. We extend Taneda's method, which was developed for the Yablonskii--Vorob'ev polynomials associated with the second Painlev'e equation, to give an algebraic proof that the rational functions generated by the nonlinear recurrence relation satisfied by Umemura polynomials are indeed polynomials. Our proof is constructive and gives information about the roots of the Umemura polynomials." @default.
• W2900021116 created "2018-11-16" @default.
• W2900021116 creator A5031490927 @default.
• W2900021116 creator A5055771160 @default.
• W2900021116 creator A5083190248 @default.
• W2900021116 date "2016-09-02" @default.
• W2900021116 modified "2023-10-12" @default.
• W2900021116 title "A constructive proof for the Umemura polynomials of the third Painlev'e equation" @default.
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• W2900021116 doi "https://doi.org/10.48550/arxiv.1609.00495" @default.
• W2900021116 hasPublicationYear "2016" @default.
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