On Monodromy Groups of Second-Order Fuchsian Equations

DOI10.1137/0521090zbMath0752.34002OpenAlexW2006861283MaRDI QIDQ4712490

Alberto Baider, Richard C. Churchill

Publication date: 25 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521090

zbMATH Keywords

monodromy groupHeun's equationcomplex Hamiltonian systemmeromorphic integralnonintegrablesecond order Fuchsian differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Classical hypergeometric functions, ({}_2F_1) (33C05) Other special functions (33E99)

Related Items (3)

Two generator subgroups of \(\text{SL}(2,\mathbf C)\) and the hypergeometric, Riemann, and Lamé equations ⋮ Completion of vector fields and the Painlevé property ⋮ Differential Galois approach to the non-integrability of the heavy top problem

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