Home > Proceedings > Adv. Stud. Pure Math. > Potential Theory in Matsue > Singular directions of meromorphic solutions of some non-autonomous Schröder equations
Translator Disclaimer
VOL. 44 | 2006 Singular directions of meromorphic solutions of some non-autonomous Schröder equations
Katsuya Ishizaki, Niro Yanagihara

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

## 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.

## Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

Digital Object Identifier: 10.2969/aspm/04410155

Subjects:
Primary: 30D35
Secondary: 39B32

Keywords: Borel direction Value distribution theory in angular domains , Nevanlinna theory , Schröder equation