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math.CA2018
Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters
Matthew Randall
We analyse the automorphisms of solutions to Chazy's equation and the generalised Chazy equation for the parameters and . These automorphisms are induced by triangular…
math.CA2018
Automorphism of solutions to Ramanujan's differential equations and other results
Matthew Randall
In part one we prove a theorem about the automorphism of solutions to Ramanujan's differential equations. We also investigate possible applications of the result. In part two we pr…
math.CA2016
Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation
Matthew Randall
Schwarz triangle functions play a fundamental role in the solutions of the generalised Chazy equation. Chazy has shown that for the parameters and , the equations can be l…