Skip to main content
SpringerLink
Log in

Asymptotics of the logarithmic derivative of an entire function of zero order

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We find asymptotic formulas for the logarithmic derivative of a zero-order entire functionf whose zeros have an angular density with respect to the comparison functionv(r)=r λ(r), whereλ(r) is the zero proximate order of the counting functionn(r) of zeros off.

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

    Google Scholar 

  2. A. A. Gol'dberg and N. E. Korenkov, “Asymptotics of the logarithmic derivative of an entire function of completely regular growth,”Sib. Mat. Zh.,21, No. 3, 63–79 (1980).

    MATH  MathSciNet  Google Scholar 

  3. A. A. Gol'dberg and N. E. Korenkov, “On the asymptotics of the logarithmic derivative of an entire function of completely regular growth,”Ukr. Mat. Zh.,30, No. 1, 25–32 (1978).

    Article  MATH  MathSciNet  Google Scholar 

  4. A. A. Gol'dberg and N. V. Zabolotskii, “Index of concentration of a subharmonic function of zero order,”Mat. Zametki. 34, No. 2, 227–236 (1983).

    MathSciNet  Google Scholar 

  5. N. V. Zabolotskii, “Theorems of Valiron and Valiron-Titchmarsh type for entire functions of zero order,”Ukr. Mat. Zh.,48, No. 3, 315–325 (1966).

    MathSciNet  Google Scholar 

Download references

Authors
  1. N. V. Zabolotskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Lvov University, Lvov. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 1, pp. 32–40, January, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zabolotskii, N.V. Asymptotics of the logarithmic derivative of an entire function of zero order. Ukr Math J 51, 34–43 (1999). https://doi.org/10.1007/BF02591912

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02591912

Keywords

Search

Navigation