Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation
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Publication:946444
DOI10.1007/s11232-008-0062-3zbMath1173.34057OpenAlexW2029995291MaRDI QIDQ946444
A. Ya. Kazakov, S. Yu. Slavyanov
Publication date: 23 September 2008
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-008-0062-3
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
Related Items (12)
Antiquantization and the corresponding symmetries ⋮ Integral symmetry for the confluent Heun equation with an added apparent singularity ⋮ The \(2\times 2\) matrix Schlesinger system and the Belavin-Polyakov-Zamolodchikov system ⋮ Euler integral symmetries and the asymptotics of the monodromy for the Heun equation ⋮ Symmetries and apparent singularities for the simplest Fuchsian equations ⋮ Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients ⋮ Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV ⋮ Hamiltonian system for the elliptic form of Painlevé VI equation ⋮ Polynomial degree reduction of a Fuchsian \(2\times2\) system ⋮ Representations and use of symbolic computations in the theory of Heun equations ⋮ Relations between second-order Fuchsian equations and first-order Fuchsian systems ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions
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