most citedFamilies of Painleve VI equations having a common solution

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math.CA2005★ 2 cited

Families of Painleve VI equations having a common solution

Bassem Ben Hamed, Lubomir Gavrilov

We classify all functions satisfying non-trivial families of PVI equations. It turns out that, up to an Okamoto equivalence, there are exactly four families parameterized by affine…

math.CA2004

On the algebraic solutions of the sixth Painlevé equation related to second order Picard-Fuchs equations

Bassem Ben Hamed, Lubomir Gavrilov

We describe two algebraic solutions of the sixth Painlevé equation which are related to (isomonodromic) deformations of Picard-Fuchs equations of order two.