Integral solutions to Schlesinger equations

DOI10.1007/s10958-015-2440-3zbMath1339.34097OpenAlexW808114507MaRDI QIDQ906333

V. P. Leksin

Publication date: 21 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2440-3

zbMATH Keywords

isomonodromic deformationsFuchsian systemparameterized Picard-Vessiot theorySchlesinger equations

Mathematics Subject Classification ID

Differential algebra (12H05) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items

Note on algebro-geometric solutions to triangular Schlesinger systems

Cites Work

• Multidimensional Jordan-Pochhammer systems and their applications
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• On the reducibility of the Schlesinger equations
• Quantization of Bending Deformations of Polygons In , Hypergeometric Integrals and the Gassner Representation
• On the question of solubility of Fuchsian systems by quadratures
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