Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV

DOI10.1007/s11232-014-0160-3zbMath1316.34094OpenAlexW2034063434MaRDI QIDQ2262751

A. Ya. Kazakov, S. Yu. Slavyanov

Publication date: 16 March 2015

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-014-0160-3

zbMATH Keywords

monodromyapparent singularityconfluent Heun equationEuler integral transform

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (6)

Integral symmetry for the confluent Heun equation with an added apparent singularity ⋮ Schrödinger potentials solvable in terms of the confluent Heun functions ⋮ Confluent Heun equation and confluent hypergeometric equation ⋮ Euler integral symmetries and the asymptotics of the monodromy for the Heun equation ⋮ Representations and use of symbolic computations in the theory of Heun equations ⋮ Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation

Uses Software

• Maple

Cites Work

• Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation
• Integral symmetries, integral invariants, and monodromy matrices for ordinary differential equations
• The central two-point connection problem for the reduced confluent Heun equation
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