Relations Between Second-Order Fuchsian Equations and First-Order Fuchsian Systems

Relations Between Second-Order Fuchsian Equations and First-Order Fuchsian Systems

Each component of any solution of a Fuchsian differential system satisfies a Fuchsian differential equation. The set of Fuchsian systems is fibered into equivalence classes. Each class consists of systems with similar sets of matrix residues, the conjugation matrix being the same for all elements of...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-08, Vol.240 (5), p.646-650
Hauptverfasser: Babich, M. V., Slavyanov, S. Yu
Format: Artikel
Sprache:eng
Schlagworte:
Conjugation
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung:Each component of any solution of a Fuchsian differential system satisfies a Fuchsian differential equation. The set of Fuchsian systems is fibered into equivalence classes. Each class consists of systems with similar sets of matrix residues, the conjugation matrix being the same for all elements of the set. We investigate the corresponding classes of scalar equations.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04381-z