Symmetries and apparent singularities for the simplest Fuchsian equations

Symmetries and apparent singularities for the simplest Fuchsian equations

We consider the simplest Fuchsian second-order equations with particular attention to the role of apparent singularities. We show the relation to the Painlevé equation and follow the matrix formulation of the problem.

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Veröffentlicht in:Theoretical and mathematical physics 2017-12, Vol.193 (3), p.1754-1760
1. Verfasser: Slavyanov, S. Yu
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Singularity (mathematics)
Theoretical
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Zusammenfassung:We consider the simplest Fuchsian second-order equations with particular attention to the role of apparent singularities. We show the relation to the Painlevé equation and follow the matrix formulation of the problem.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577917120030