Skip to main content
SpringerLink
Log in

The Fatou and Julia Sets of Multivalued Analytic Functions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We propose a generalization of some problems of complex dynamics which includes the study of iterations of multivalued functions and compositions of various single-valued functions. We generalize two classical results concerning the Julia set.

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

References

  1. Beardon A. F., Iteration of Rational Functions, Springer-Verlag, New York (1991).

    Google Scholar 

  2. Carleson L. and Gamelin T. W., Complex Dynamics, Springer-Verlag, New York (1993).

    Google Scholar 

  3. Bergweiler W., “An introduction to complex dynamics,” Textos de Matemática, Universidade de Coimbra, Sár. B, 6, 1-37 (1995).

    Google Scholar 

  4. Goluzin G. M., Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  5. Nevanlinna R., Uniformization [Russian translation], Izdat. Inostr. Lit., Moscow (1955).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saratov State University, Russia

    P. A. Gumenuk

Authors
  1. P. A. Gumenuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gumenuk, P.A. The Fatou and Julia Sets of Multivalued Analytic Functions. Siberian Mathematical Journal 43, 1047–1054 (2002). https://doi.org/10.1023/A:1021117301173

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021117301173

Search

Navigation