Skip to main content
SpringerLink
Log in

Growth and distribution of zeros of holomorphic mappings of a finite-dimensional space into a Banach space

  • 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. R. Nevanlinna, Eindeutige Analytische Funktionen, Springer, Berlin (1953).

    Google Scholar 

  2. S. Yu. Favorov, “On a certain property of entire curves,” Funkts. Anal. Prilozh.,9, No. 1, 87–88 (1975).

    Google Scholar 

  3. L. I. Ronkin, On defect divisors of holomorphic mappings. Preprint Akad. Nauk USSR, FTINT; No. 7-79, Khar'kov (1979).

  4. A. Sadullaev, “Defect divisors in the sense of Valiron,” Mat. Sb., 108, (150), No. 4, 567–580 (1979).

    Google Scholar 

  5. A. Sadullaev and P. V. Degtyar', “Defect divisors of holomorphic mappings,” in: Multidimensional Complex Analysis [in Russian], Izd. Krasnoyar. Univ., Krasnoyarsk (1985), pp. 138–151.

    Google Scholar 

  6. V. P. Petrenko, “On the distribution of the values of certain classes of entire functions of several complex variables,” Dokl. Akad. Nauk SSSR,223, No. 1, 46–48 (1975).

    Google Scholar 

  7. V. P. Petrenko, The Growth of Meromorphic Functions [in Russian], Vishcha Shkola (Izdat. Khar'kov Univ.), Khar'kov (1978).

    Google Scholar 

  8. J. E. Littlewood and A. C. Offord, “On the distribution of zeros and a-values of random integral function. (II),” Ann. Math.,49, No. 4, 885–952 (1948).

    Google Scholar 

  9. A. A. Gol'dberg and I. V. Ostrovskii, “Indicators of entire Hermitian-positive functions of finite order,” Sib. Mat. Zh.,23, No. 6, 55–73 (1982).

    Google Scholar 

  10. S. Yu. Favorov, “The distribution of the values of holomorphic mappings of Cm into a Banach space,” Funkts. Anal. Prilozh.,21, No. 3, 91–92 (1987).

    Google Scholar 

  11. E. A. Gorin and S. Yu. Favorov, “Generalizations of Khinchin's inequality,” Teor. Veroyatn. Primenen. (1990).

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

    Google Scholar 

  13. C. O. Kiselman, “Croissance des fonctions plurisousharmoniques en dimension infinite,” Ann. Inst. Fourier,34, No. 1, 155–183 (1984).

    Google Scholar 

  14. B. Ja. Levin, Distribution of Zeros of Entire Functions, Am. Math. Soc., Providence (1964).

    Google Scholar 

  15. V. S. Azarin, “On the asymptotic behavior of subharmonic functions of finite order,” Mat. Sb.,108, (150), No. 2, 147–167 (1979).

    Google Scholar 

Download references

Authors
  1. S. Yu. Favorov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Khar'kov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 161–171, January–February, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Favorov, S.Y. Growth and distribution of zeros of holomorphic mappings of a finite-dimensional space into a Banach space. Sib Math J 31, 137–146 (1990). https://doi.org/10.1007/BF00971159

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00971159

Keywords

Search

Navigation