Fifth Painleve Transcendents Which are Analytic at the Origin

DOI10.1619/fesi.50.187zbMath1162.34074OpenAlexW2060656489MaRDI QIDQ3535799

Kazuo Kaneko, Yousuke Ohyama

Publication date: 14 November 2008

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.50.187

zbMATH Keywords

Painlevé equationmonodromy data

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Painlevé VI transcendents which are meromorphic at a fixed singularity. ⋮ Symmetric solutions for the two dimensional degenerate Garnier system G(5) ⋮ Symmetric solutions to the four dimensional degenerate Painlevé type equation NY ^{A ₄} ⋮ Local expansion of Painlevé VI transcendents around a fixed singularity ⋮ Meromorphic Painlevé transcendents at a fixed singularity

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