OKUBO TYPE DIFFERENTIAL EQUATIONS DERIVED FROM HYPERGEOMETRIC FUNCTIONS <i>F</i><i>_D</i>

DOI10.2206/kyushujm.75.1zbMath1494.33011OpenAlexW3172312181MaRDI QIDQ5164180

Mitsuo Kato

Publication date: 10 November 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.75.1

zbMATH Keywords

potential vectorLauricella's hypergeometric functionflat coordinateOkubo differential equationPainlevé solution

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Appell, Horn and Lauricella functions (33C65) Painlevé-type functions (33E17)

Cites Work

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• Algebraic solutions of the sixth Painlevé equation
• Flat structure on the space of isomonodromic deformations
• Rational solutions of the Painlevé VI equation
• MONODROMY AND PFAFFIAN OF LAURICELLA^|^apos;S FD IN TERMS OF THE INTERSECTION FORMS OF TWISTED (CO)HOMOLOGY GROUPS

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