AUTOMORPHISM OF SOLUTIONS TO RAMANUJAN'S DIFFERENTIAL EQUATIONS AND OTHER RESULTS

DOI10.2206/kyushujm.75.77zbMath1486.34053arXiv1806.07544OpenAlexW3171111782MaRDI QIDQ5164187

Matthew Randall

Publication date: 10 November 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07544

zbMATH Keywords

Lamé's equationChazy's equationRamanujan's differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (1)

Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters

Cites Work

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• A simple example of modular forms as tau-functions for integrable equations
• Systems of nonlinear differential equations related to second-order linear equations
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• Algebraic solutions of the Lamé equation, revisited.
• The generalized Chazy equation and Schwarzian triangle functions
• Symmetry and the Chazy equation
• Differential relations of theta functions
• Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters
• Parameterizations of the Chazy Equation
• Lamé Equation, Quantum Euler Top and Elliptic Bernoulli Polynomials
• The Generalized Chazy Equation from the Self‐Duality Equations
• Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation

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