Recursive calculation of connection formulas for systems of differential equations of Okubo normal form

DOI10.1007/s10883-014-9220-0zbMath1304.34153arXiv0912.1058OpenAlexW2158832911MaRDI QIDQ457176

Toshiaki Yokoyama

Publication date: 26 September 2014

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1058

zbMATH Keywords

Gauss hypergeometric functionconnection formulasEuler-Darboux equationGauss hypergeometric differential equationOkubo normal form

Mathematics Subject Classification ID

Euler-Poisson-Darboux equations (35Q05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (2)

Multivariable Euler transform of systems of linear ordinary differential equations of Okubo normal form ⋮ Connection Coefficients and Monodromy Representations for a Class of Okubo Systems of Ordinary Differential Equations

Cites Work

• Integral representations of solutions of differential equations free from accessory parameters
• Über das globale Verhalten der Normallösungen vonx′(t) = (B + t−1A)x(t) und zweier Arten von assoziierten Funktionen
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
• Construction of systems of differential equations of Okubo normal form with rigid monodromy
• Symmetries of Differential Equations. The Hypergeometric and Euler–Darboux Equations
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