Growth of modified Painlevé transcendents of the fifth and the third kind

DOI10.1515/FORM.2004.011zbMath1058.34127OpenAlexW2069653945MaRDI QIDQ4469368

Shun Shimomura

Publication date: 14 June 2004

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2004.011

zbMATH Keywords

Nevanlinna theorythird and fifth Painlevé transcendents

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (6)

Equi-Distribution of Values for the Third and the Fifth Painlevé Transcendents ⋮ Value distribution of the fifth Painlevé transcendents in sectorial domains ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ On topological behaviour of solutions of some algebraic differential equations ⋮ Frequency of \(a\)-points for the fifth and the third Painlevé transcendents in a sector ⋮ Value distribution of the third Painlevé transcendents in sectorial domains

Cites Work

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• Rational solutions of the fifth Painlevé equation

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