Abstract
Let $k \geq2$ and let $f$ be meromorphic in the unit disc $\Delta$, such that $f(z) f^{(k)}(z) \neq0$ for all $z \in\Delta$ and the poles of $f$ in $\Delta$ have bounded multiplicities. Then $f $ has asymptotic values on a dense subset of $\partial\Delta$.
Citation
Alastair Fletcher. Jim Langley. Janis Meyer. "Nonvanishing derivatives and the MacLane class $\mathcal{A}$." Illinois J. Math. 53 (2) 379 - 390, Summer 2009. https://doi.org/10.1215/ijm/1266934783
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