Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation

zbMath1466.34078arXiv1607.04961MaRDI QIDQ5856453

Matthew Randall

Publication date: 26 March 2021

Full work available at URL: https://arxiv.org/abs/1607.04961

zbMATH Keywords

hypergeometric transformationsSchwarz triangle functionsgeneralised Chazy equation

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (3)

The Chazy XII equation and Schwarz triangle functions ⋮ AUTOMORPHISM OF SOLUTIONS TO RAMANUJAN'S DIFFERENTIAL EQUATIONS AND OTHER RESULTS ⋮ Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters

Cites Work

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• The generalized Chazy equation and Schwarzian triangle functions
• Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebański metric
• Symmetry and the Chazy equation
• Algebraic Transformations of Gauss Hypergeometric Functions
• The Generalized Chazy Equation from the Self‐Duality Equations
• Chazy Classes IX–XI Of Third‐Order Differential Equations
• Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations

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