2 papers
math.CV2025
On the extension of analytic solutions of first-order difference equations
Rod Halburd, Risto Korhonen, Yan Liu +1
We will consider first-order difference equations of the form \[ y(z+1) = \frac{λy(z)+a_2(z)y(z)^2+\cdots+a_p(z)y(z)^p}{1 + b_1(z)y(z)+\cdots+b_q(z)y(z)^q}, \] where $λ\in\mathbb…
math.CV2024
Zero order meromorphic solutions of -difference equations of Malmquist type
Risto Korhonen, Yueyang Zhang
We consider the first order -difference equation \begin{equation}\tagâ f(qz)^n=R(z,f), \end{equation} where is a constant and is rational in both arguments…