Skip to main content
SpringerLink
Log in

Borel and Julia directions of meromorphic Schröder functions II

  • Original Paper
  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract.

Let R(w) be a non-inear rational function and s be a complex constant with | s |  > 1. It is showed that for any solution f (z) of the Schröder equation f (sz)  =  R(f (z)), Julia directions of f (z) are also Borel directions of f (z).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, NIPPON Institute of Technology, 4-1 Gakuendai Miyashiro, Minamisaitama, Saitama–ken, 345–8501, Japan

    K. Ishizaki

  2. Mimami–Iwasaki 671–18 Ichihara–City, Chiba–ken, 290–0244, Japan

    N. Yanagihara

Authors
  1. K. Ishizaki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. Yanagihara
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. Ishizaki.

Additional information

Received: 2 May 2005; revised: 22 December 2005

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ishizaki, K., Yanagihara, N. Borel and Julia directions of meromorphic Schröder functions II. Arch. Math. 87, 172–178 (2006). https://doi.org/10.1007/s00013-006-1565-5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00013-006-1565-5

Mathematics Subject Classification (2000).

Search

Navigation