Euler integral symmetries and the asymptotics of the monodromy for the Heun equation

DOI10.1007/s10958-023-06866-4OpenAlexW4390009094MaRDI QIDQ6145437

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Publication date: 2 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06866-4

Mathematics Subject Classification ID

General relativity (83Cxx) Hypergeometric functions (33Cxx) Ordinary differential equations in the complex domain (34Mxx)

Cites Work

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• Schrödinger potentials solvable in terms of the confluent Heun functions
• Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation
• Integral relations for Heun-class special functions
• Heun functions and some of their applications in physics
• Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
• Quantum field theory applications of Heun type functions
• Symmetries of the confluent Heun equation
• Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV
• On a differential equation with a singular point of regular type and a large parameter
• Black hole scattering from monodromy
• Description of waves in inhomogeneous domains using Heun’s equation
• The Heun Functions and Their Applications in Astrophysics
• Mode stability on the real axis
• Single polymer dynamics in elongational flow and the confluent Heun equation
• Uniform Asymptotic Formulae for Functions with Transition Points

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