Integral representations of solutions of differential equations free from accessory parameters

DOI10.1006/aima.2001.2060zbMath1015.34081OpenAlexW2007076268MaRDI QIDQ1849212

Yoshishige Haraoka

Publication date: 28 November 2002

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.2001.2060

zbMATH Keywords

hypergeometric functionEuler-Darboux equationOkubo normal formrigid local systemintegral representation of Euler type

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items

Euler integral symmetry and the deformed hypergeometric equation ⋮ Restrictions of Pfaffian systems for Feynman integrals ⋮ Topological theory for Selberg type integral associated with rigid Fuchsian systems ⋮ Recursive calculation of connection formulas for systems of differential equations of Okubo normal form ⋮ Solving the hypergeometric system of Okubo type in terms of a certain generalized hypergeometric function

Cites Work

• Configurations and invariant Gauss-Manin connections of integrals. I
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Generalized Euler integrals and \(A\)-hypergeometric functions
• Finite monodromy of Pochhammer equation
• ON RIGIDITY OF PFAFFIAN SYSTEMS COMING FROM OKUBO SYSTEMS
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
• Canonical Forms of Differential Equations Free from Accessory Parameters
• Monodromy Representations of Systems of Differential Equations Free from Accessory Parameters
• Monodromy Groups of Systems of Total Differential Equations of Two Variables
• On the Deligne-Simpson problem
• Intersection Theory for Twisted Cycles
• Rigid Local Systems. (AM-139)
• Construction of systems of differential equations of Okubo normal form with rigid monodromy
• An algorithm of Katz and its application to the inverse Galois problem.
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