Skip to main content
Log in

A Criterion for the completely regular growth of δ-subharmonic functions

  • Published:
Ukrainian Mathematical Journal Aims and scope

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. M. Arsove, “Functions representable as differences of subharmonic functions,” Trans. Am. Math. Soc.,75, 327–365 (1953).

    Google Scholar 

  2. P. Noverraz, “Fonctions plurisousharmoniques et analytiques dans les espaces vectoriels topologiques complexes,” Ann. Inst. Fourier,19, No. 2, 419–493 (1969).

    Google Scholar 

  3. L. A. Rubel and B. A. Taylor, “A Fourier series method for meromorphic and entire functions,” Bull. Soc. Math. France,96, 53–96 (1968).

    Google Scholar 

  4. V. S. Azarin, “On the regularity of growth of the Fourier coefficients of the logarithm of the modulus of an entire function,” Teor. Funkts., Funkts. Anal. Prilozhen.,27, 9–21 (1977).

    Google Scholar 

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

  6. A. A. Kondratyuk, “A Fourier series method for entire and meromorphic functions of completely regular growth,” Mat. Sb.,106(148), No. 3, 386–408 (1978).

    Google Scholar 

  7. A. A. Kondratyuk, “A Fourier series method for entire and meromorphic functions of completely regular growth. II.” Mat. Sb.,113(155), No. 1, 118–132 (1980).

    Google Scholar 

  8. A. A. Kondratyuk, “A Fourier series method for entire and meromorphic functions of completely regular growth. III,” Mat. Sb.,120(162), No. 3, 331–343 (1983).

    Google Scholar 

  9. Yu. P. Lapenko, “Entire and meromorphic functions of completely regular growth and their defects,” Author's Abstract of Candidate's Dissertation, Physicomathematical Sciences, Rostov-on-Don (1981).

    Google Scholar 

  10. Ya. V. Vasil'kiv, Visn. L'viv. Univ. Ser. Mekh.-Mat., No. 21, 14–21.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 1, pp. 8–13, January–February, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vasil'kiv, Y.V. A Criterion for the completely regular growth of δ-subharmonic functions. Ukr Math J 37, 5–10 (1985). https://doi.org/10.1007/BF01056843

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056843

Keywords

Navigation