Skip to main content
Log in

Some estimates for the magnitudes of defects of a meromorphic function

  • 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

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. R. Nevanlinna, Single-Valued Analytic Functions [in Russian], Gostekhizdat, M.-L. (1964).

    Google Scholar 

  2. A. A. Goldberg, “On the Set of Defect Values of Meromorphic Functions of Finite Order” [in Russian] Ukr. Matem. Zh.,11, No. 4, 438–443 (1959).

    Google Scholar 

  3. G. Valiron, Sur les valeurs déficientes des fonctions méromorphes d'ordre nul, C.R. Acad. Sci.,230, 40–72 (1950).

    Google Scholar 

  4. W. H. J. Fuchs, A Theorem on the Nevanlinnas Deficiencies of Meromorphic Functions of Finite Order, Ann. of Math.,68, No. 2, 203–209 (1958).

    Google Scholar 

  5. V. P. Petrenko, “Some Estimates of the Logarithmic Derivative of a Meromorphic Function” [in Russian], Izd. Ak. Nauk ArmSSR, series phys.-math.,17, No. 1, 23–36 (1964).

    Google Scholar 

  6. V. P. Petrenko, “On Magnitudes of Defects of Meromorphic Functions” Doklady Ak. Nauk SSSR,158, No. 5, 1030–1033 (1964).

    Google Scholar 

  7. A. Edrei, Sums of Deficiencies of Meromorphic Functions, J. d'Anal. Math,14, 79–108 (1965).

    Google Scholar 

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

  9. O. Teichmüller, Vermutungen und Sätze über die Werverteilung gebrochener Funktionen endlicher Ordnung, Deutsche Math.,4, 163–190 (1939).

    Google Scholar 

  10. I. V. Ostrovskii, “On Defects of Meromorphic Functions of Lower Order Less Than One,” Doklady Ak. Nauk SSSR,150, No. 1, 32–35 (1963).

    Google Scholar 

  11. R. Nevanlinna, Le théorème de Picard-Borel et la theorie des fonctions meromorphes, Paris, (1929).

  12. G. Vittikh, Recent Investigations of Single-Valued Analytic Functions [in Russian], Fizmatgiz, M. (1960).

    Google Scholar 

  13. A. Edrei and W. H. J. Fuchs, On the Growth of Meromorphic Functions with Several Deficient Values, Trans. Amer. Math. Soc.93, No. 3, 292–328 (1959).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 6, pp. 1319–1336, November–December, 1966.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petrenko, V.P. Some estimates for the magnitudes of defects of a meromorphic function. Sib Math J 7, 1035–1047 (1966). https://doi.org/10.1007/BF00966400

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966400

Keywords

Navigation