Skip to main content
SpringerLink
Log in

The inverse problem of value-distribution theory for meromorphic functions of finite order

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Literature Cited

  1. A. A. Gol'dberg and I. V. Ostrovskii, Distribution of Values of Meromorphic Functions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. D. Drasin, “The inverse problem of the Nevanlinna theory,” Acta Math.,138, 83–151 (1977).

    Google Scholar 

  3. R. Nevanlinna, Le Théorème de Picard-Borel et la Théorie des Fonctions Méromorphes, Gauthier-Villars, Paris (1929).

    Google Scholar 

  4. W. Hayman, Meromorphic Functions, Clarendon Press, Oxford (1964).

    Google Scholar 

  5. A. A. Gol'dberg, “On the inverse problem of the value distribution theory for meromorphic functions,” Ukr. Mat. Zh.,6, No. 4, 385–397 (1954).

    Google Scholar 

  6. O. Teichmüller, “Vermutungen und Sätze über die Vertverteilung gebrochener Functionen endlicher Ordnung,” Deutsche Math.,4, 163–190 (1939).

    Google Scholar 

  7. A. Weitsman, “A theorem on Nevanlinna deficiencies,” Acta Math.,128, 41–52 (1972).

    Google Scholar 

  8. A. Weitsman, “Meromorphic functions with maximal deficiency sum and conjecture of R. Nevanlinna,” Acta Math.,123, 115–139 (1969).

    Google Scholar 

  9. D. Drasin, “Quasiconformal modifications of functions having deficiency sum two,” Ann. Math.,114, 439–518 (1981).

    Google Scholar 

  10. R. Nevanlinna, “Über Riemannsche Flächen mit endlich vielen Windungspunkten,” Acta Math.,58, 295–373 (1932).

    Google Scholar 

  11. N. U. Arakelyan, “Entire functions of finite order with infinite set of deficient values,” Dokl. Akad. Nauk SSSR,170, No. 5, 999–1002 (1966).

    Google Scholar 

  12. V. P. Petrenko, Growth of Meromorphic Functions [in Russian], Vishcha Shkola, Kharkov (1978).

    Google Scholar 

  13. A. É. Eremenko, “On deviations of meromorphic functions of finite lower order,” in: Theory of Functions, Functional Analysis, and Their Applications [in Russian], No. 30, Vishcha Shkola, Kharkov (1983), pp. 56–64.

    Google Scholar 

  14. Le Van Thiem, “Über das Umkehrproblem der Vertverteilungslehre,” Comment. Helv.,23, 77–86 (1949).

    Google Scholar 

  15. P. P. Belinskii, General Properties of Quasiconformal mappings [in Russian], Nauka, Novosibirsk (1974).

    Google Scholar 

  16. S. Stoilov, Lectures on the Topological Principles in the Theory of Analytic Functions [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  17. B. Ya. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).

  18. A. É. Eremenko, “On deficiencies and deviations of meromorphic functions of finite order,” Dokl. Akad. Nauk Ukr. SSR, No. 1, 18–20 (1985).

    Google Scholar 

Download references

Authors
  1. A. É. Eremenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kharkov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 3, pp. 87–102, May–June, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eremenko, A.É. The inverse problem of value-distribution theory for meromorphic functions of finite order. Sib Math J 27, 377–390 (1986). https://doi.org/10.1007/BF00969274

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969274

Keywords

Search

Navigation