325 citations · 326 across the 3 of their papers we have counts for
3 papers
math.CV2005★ 325 cited
Nevanlinna theory for the difference operator
R. G. Halburd, R. J. Korhonen
Certain estimates involving the derivative of a meromorphic function play key roles in the construction and applications of classical Nevanlinna theory. The purpose o…
nlin.SI2005★ 1 cited
Finite-order meromorphic solutions and the discrete Painleve equations
R. G. Halburd, R. J. Korhonen
Let w(z) be a finite-order meromorphic solution of the second-order difference equation w(z+1)+w(z-1) = R(z,w(z)) (eqn 1) where R(z,w(z)) is rational in w(z) and meromorphic in z.…
math.CV2005
Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations
R. G. Halburd, R. J. Korhonen
The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations. In this paper, a…