Skip to main content
SpringerLink
Log in

Asymptotic growth of δ-subharmonic functions of null 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. Y. Kubota, “On meromorphic functions of order zero,” Kodai Math. Sem. Repts.,21, No. 4, 405–412 (1969).

    Google Scholar 

  2. I. V. Ostrovskii, “On the defects of meromorphic functions of the lower order less than one,” Dokl. Akad. Nauk SSSR,150, No. 1, 32–35 (1963).

    Google Scholar 

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

    Google Scholar 

  4. J. M. Anderson, “Asymptotic values of meromorphic functions of smooth growth,” Glasgow Math. J.,20, No. 2, 150–162 (1979).

    Google Scholar 

  5. N. Toda, “Sur quelques fonctions meromorphes d'ordre nul dans | z | < ∞,” Tohoku Math. J.,20, No. 3, 384–398 (1968).

    Google Scholar 

  6. A. A. Gol'dberg and A. E. Eremenko, “On asymptotic curves of entire functions of null order,” Mat. Sb.,109, No. 4, 555–581 (1979).

    Google Scholar 

  7. L. A. Ter-Israelyan, “A meromorphic function of null order with a nonasymptotic defect value,” Mat. Zametki,13, No. 2, 195–206 (1973).

    Google Scholar 

  8. A. A. Gol'dberg and N. V. Zabolotskii, “Concentration index of subharmonic functions of null order,” Mat. Zametki,34, No. 2, 227–236 (1983).

    Google Scholar 

  9. N. V. Zabolotskii, “Asymptotic properties of meromorphic and δ-subharmonic functions of slow growth,” Candidate's Dissertation, Physicomathematical Sciences, Kharkov (1982).

    Google Scholar 

  10. N. S. Landkov, Foundations of the Contemporary Potential Theory [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  11. A. Yu. Shakhverdyan, “Conditions of the N. Wiener criterion type and estimations for potentials and subharmonic functions,” Dokl. Akad. Nauk Armenian SSR,76, No. 1, 3–7 (1983).

    Google Scholar 

  12. M. Brelot and J. Doob, “Angular and fine limits,” Matematika,11, No. 3, 101–116 (1967).

    Google Scholar 

  13. W. K. Hayman and P. B. Kennedy, Subharmonic Functions, Academic Press, New York (1976).

    Google Scholar 

  14. I. I. Privalov, Subharmonic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1937).

    Google Scholar 

  15. L. Carleson, Selected Problems on Exceptional Sets, Van Nostrand Math. Studies, No. 13, Van Nostrand (1967).

  16. S. Yu. Favorov, “On lowering sets for subharmonic functions of completely regular growth,” Sib. Mat. Zh.,20, No. 6, 1294–1302 (1979).

    Google Scholar 

  17. B. J. Levin, Distribution of Zeros of Entire Functions, Am. Math. Soc. (1972).

  18. I. F. Krasichkov, “Estimates from below for entire functions of finite order,” Sib. Mat. Zh.,6, No. 4, 840–862 (1965).

    Google Scholar 

Download references

Authors
  1. A. Yu. Shakhverdyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Yerevan. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 2, pp. 201–210, March–April, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shakhverdyan, A.Y. Asymptotic growth of δ-subharmonic functions of null order. Sib Math J 28, 343–351 (1987). https://doi.org/10.1007/BF00970881

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970881

Keywords

Search

Navigation