## Advanced Studies in Pure Mathematics

### Singular directions of meromorphic solutions of some non-autonomous Schröder equations

#### Abstract

Let $s = |s| e^{2\pi \lambda i}$ be a complex constant satisfying $|s| \gt 1$ and $\lambda \notin \mathbb{Q}$. We show that for a transcendental meromorphic solution $f(z)$ of some non-autonomous Schröder equation $f(sz) = R(z, f(z))$, any direction is a Borel direction.

#### Article information

Dates
Revised: 9 June 2005
First available in Project Euclid: 16 December 2018