On the number of real roots of the Yablonskii-Vorob'ev polynomials

DOI10.3842/SIGMA.2012.099zbMath1271.33009arXiv1208.2337MaRDI QIDQ352429

Pieter Roffelsen

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2337

zbMATH Keywords

second Painlevé equationrational solutionsreal rootsinterlacing of rootsYablonskii-Vorob'ev polynomials

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

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