Boutroux's method vs. re-scaling. Lower estimates for the orders of growth of the second and fourth Painlevé transcendents

zbMath1080.34074MaRDI QIDQ1769837

Norbert Steinmetz

Publication date: 30 March 2005

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52043

zbMATH Keywords

Painlevé differential equationsorder of growthre-scalingBoutroux's method

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (3)

Equi-Distribution of Values for the Third and the Fifth Painlevé Transcendents ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ Painlevé σ-equations S1, S2, S4 and their value distribution

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