325 citations · 362 across the 22 of their papers we have counts for
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math.CV2017★ 2 cited
Existence of meromorphic solutions of first order difference equations
Risto Korhonen, Yueyang Zhang
It is shown that if It is shown that if \begin{equation}\label{abstract_eq} f(z+1)^n=R(z,f),\tag† \end{equation} where is rational in with meromorphic coefficients and…
math.CV2017★ 1 cited
Three approaches to detecting discrete integrability
R. G. Halburd, R. J. Korhonen
A class of discrete equations is considered from three perspectives corresponding to three measures of the complexity of solutions: the (hyper-) order of meromorphic solutions in t…
math.CV2017
Meromorphic solutions of algebraic difference equations
Katsuya Ishizaki, Risto Korhonen
It is shown that the difference equation \begin{equation}\label{abseq} (Δf(z))^2=A(z)(f(z)f(z+1)-B(z)), \qquad\qquad (1) \end{equation} where and are meromorphic func…