Irreducibility of the linear differential equation attached to Painlevé’s first equation

Keiji Nishioka

doi:10.3836/tjm/1270128989

Irreducibility of the linear differential equation attached to Painlevé’s first equation

Keiji Nishioka

Faculty of Environment and Information Studies

Research output: Contribution to journal › Article › peer-review

Abstract

The linear homogeneous differential equation z″=12yz with y an arbitrary solution of Painlevé’s first equation y″=6y²+x will be proved irreducible.

Original language	English
Pages (from-to)	171-177
Number of pages	7
Journal	Tokyo Journal of Mathematics
Volume	16
Issue number	1
DOIs	https://doi.org/10.3836/tjm/1270128989
Publication status	Published - 1993 Jun

ASJC Scopus subject areas

Mathematics(all)

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title = "Irreducibility of the linear differential equation attached to Painlev{\'e}{\textquoteright}s first equation",

abstract = "The linear homogeneous differential equation z″=12yz with y an arbitrary solution of Painlev{\'e}{\textquoteright}s first equation y″=6y2+x will be proved irreducible.",

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Irreducibility of the linear differential equation attached to Painlevé’s first equation

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