R. G. Halburd

Holomorphic curves with shift-invariant hyperplane preimages

R. G. Halburd, Risto Korhonen, Kazuya Tohge · Transactions of the American Mathematical Society · 2014 · 238 citations · Full text

Riemann-hilbert Problem, Holomorphic Curves, Complex Geometry +6

On the extension of the Painlevé property to difference equations

Mark J. Ablowitz, R. G. Halburd, B. M. Herbst · Nonlinearity · 2000 · 223 citations · Full text

Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations

David C. Barnett, R. G. Halburd, Will Morgan et al. · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2007 · 122 citations

Geometry Of Number, Resolvent Kernel, Real Algebraic Geometry +11

Meromorphic solutions of difference equations, integrability and the discrete Painlevé equations

R. G. Halburd, Risto Korhonen · Journal of Physics A Mathematical and Theoretical · 2007 · 109 citations

General Introduction, Elliptic Equation, Meromorphic Solutions +8

Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem

Nalini Joshi, Damien Burtonclay, R. G. Halburd · Letters in Mathematical Physics · 1992 · 45 citations

Discrete Dynamical System, Discrete Dynamic, Discrete Integrable System +1