All admissible meromorphic solutions of Hayman's equation

Rod Halburd, Jun Wang

We find all non-rational meromorphic solutions of the equation $ww"-(w^{\prime }{)}^2=\alpha (z)w+\beta (z)w^{\prime }+\gamma (z)$, where $\alpha$, $\beta$ and $\gamma$ are rational functions of $z$. In so doing we answer a questio…