On an absolute constant pertaining to Cauchy's "principal moduli" in bounded power series
AUREL WINTNER (1956)
Mathematica Scandinavica
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Displaying similar documents to “On an Absolut Constant Pertaining to Cauchy's 'Principal Moduli' in Bounded Power Series.”
On an absolute constant pertaining to Cauchy's "principal moduli" in bounded power series
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Families of linear differential equations related to the second Painlevé equation
Marius van der Put (2011)
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This paper is a sequel to [vdP-Sa] and [vdP]. The two classes of differential modules (0,-,3/2) and (-,-,3), related to PII, are interpreted as fine moduli spaces. It is shown that these moduli spaces coincide with the Okamoto-Painlevé spaces for the given parameters. The geometry of the moduli spaces leads to a proof of the Painlevé property for PII in standard form and in the Flaschka-Newell form. The Bäcklund transformations, the rational solutions and the Riccati solutions for PII...