@article{oai:ouj.repo.nii.ac.jp:00007971, author = {Ishizaki, Katsuya and Yanagihara, Niro}, issue = {1}, journal = {Mathematical Proceedings of the Cambridge Philosophical Society, Mathematical Proceedings of the Cambridge Philosophical Society}, month = {Jul}, note = {Meromorphic solutions of the Schroder equation f(sz) = R(f(z)) are studied, where |s| > 1 and R(w) is a rational function with deg[R] ≥ 2. We will show that, if arg[s] /∈ 2πQ, then f(z) has any direction as Borel, and besides, without exceptional values other than Picard values, which depend on R(w). Further the case arg[s] ∈ 2πQ is also considered. We investigate the relation between Julia directions of f(z) and the Julia set of R(w).}, pages = {139--147}, title = {Borel and Julia directions of meromorphic Schröder functions}, volume = {139}, year = {2005} }