Skip to main content
SpringerLink
Log in

The structure of the indicator of an entire function of finite order and normal type

  • 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. B. Ya. Levin, The Distribution of Roots of Entire Functions [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  2. M. M. Dzhrbashyan, Integral Transforms and Representations in the Complex Domain [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. A. F. Leont'ev, “Representation of functions by generalized Dirichlet series,” Usp. Mat. Nauk,24, No. 2 (146), 97–164 (1969).

    Google Scholar 

  4. L. S. Maergoiz, “Plane ρ-convex sets and some of their applications”, in: Holomorphic Functions of Several Complex Variables [in Russian], Krasnoyarsk (1972), pp. 75–91.

  5. V. Koppenfels and F. Stahlman, Practical Conformal Mapping [Russian translation], IL (1963).

  6. V. Bernstein, “Sulla proprietà caratteristiche delle indicatrici di crescenza delle transcendenti intere d'ordine finito,” Mem. R. Accad. d'Italia,7, 131–189 (1936).

    Google Scholar 

  7. C. O. Kiselman, “Existence of entire functions of one variable with prescribed indicator,” Arkiv Mat.,7, No. 35, 505–508 (1968).

    Google Scholar 

  8. M. A. Krasnosel'skii, Vector Fields in the Plane [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  9. N. Bourbaki, General Topology (Fundamental structures) [Russian translation], Nauka, Moscow (1968).

    Google Scholar 

  10. G. Springer, Introduction to the Theory of Riemann Surfaces [Russian translation], IL, Moscow (1960).

    Google Scholar 

  11. R. Rockefeller Convex Analysis [Russian translation], Mir, Moscow (1973).

    Google Scholar 

  12. N. V. Govorov, “Riemann's boundary-value problem with infinite index and order smaller than 1/2,” in: The Theory of Functions and Functional Analysis and Their Applications [in Russian], No. 6, Khar'kov (1968), pp. 151–176.

  13. S. S. Kutateladze and A. M. Rubinov, “Minkowski duality and its applications,” Usp. Mat. Nauk,27, No. 3 (165), 127–176 (1972).

    Google Scholar 

  14. V. A. Sharafutdinov, “Convex sets and Riemann manifolds,” Sib. Matem. Zh.,14, No. 5, 1152–1155 (1973).

    Google Scholar 

  15. L. Hörmander, Introduction to the Theory of Functions of Several Complex Variables [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  16. R. Narasimkhan, Analysis on Real and Complex Manifolds [Russian translation], Mir, Moscow (1971).

    Google Scholar 

Download references

Authors
  1. L. S. Maergoiz
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 2, pp. 301–313, March–April, 1975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maergoiz, L.S. The structure of the indicator of an entire function of finite order and normal type. Sib Math J 16, 232–241 (1975). https://doi.org/10.1007/BF00967507

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967507

Keywords

Search

Navigation