Connection Coefficients and Monodromy Representations for a Class of Okubo Systems of Ordinary Differential Equations

DOI10.1619/fesi.61.145zbMath1429.34088arXiv1606.07187OpenAlexW2964042530WikidataQ129649445 ScholiaQ129649445MaRDI QIDQ5234834

Shotaro Konnai

Publication date: 4 October 2019

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07187

zbMATH Keywords

monodromymiddle convolutionconnection coefficientsOkubo systemYokoyama's list

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recursive calculation of connection formulas for systems of differential equations of Okubo normal form
• Middle convolution and Harnad duality
• Fractional calculus of Weyl algebra and Fuchsian differential equations
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• Katz's middle convolution and Yokoyama's extending operation
• Canonical Forms of Differential Equations Free from Accessory Parameters
• Monodromy Representations of Systems of Differential Equations Free from Accessory Parameters
• 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.

This page was built for publication: Connection Coefficients and Monodromy Representations for a Class of Okubo Systems of Ordinary Differential Equations