Euler Integral Symmetries and the Asymptotics of the Monodromy for the Heun Equation

Euler Integral Symmetries and the Asymptotics of the Monodromy for the Heun Equation

Euler integral transform connects monodromy matrices of the Heun equation with different sets of parameters. In this paper, this fact is used to calculate the asymptotic behavior of the monodromy of the Heun confluent equation in the case of the presence of a “combined” singularity.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-12, Vol.277 (4), p.598-607
1. Verfasser: Kazakov, A. Ya
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Differential equations
Integral transforms
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:Euler integral transform connects monodromy matrices of the Heun equation with different sets of parameters. In this paper, this fact is used to calculate the asymptotic behavior of the monodromy of the Heun confluent equation in the case of the presence of a “combined” singularity.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06866-4