scientific article

zbMath0980.34084arXivmath-ph/0003016MaRDI QIDQ2709054

Dmitry Korotkin

Publication date: 22 February 2002

Full work available at URL: https://arxiv.org/abs/math-ph/0003016

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zbMATH Keywords

singularitiesmonodromy groupmonodromy matricesSchlesinger transformationscanonical Fuchsian systemclassical Schlesinger system

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Riemann-Hilbert problems in context of PDEs (35Q15) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (3)

Zeros of the isomonodromic tau functions in constructive conformal mapping of polycircular arc domains: the n-vertex case ⋮ Degenerating the elliptic Schlesinger system ⋮ Schlesinger transformations for elliptic isomonodromic deformations

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