Skip to main content
SpringerLink
Log in

Invariant form of Polya's inequalities

  • 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. M. Schiffer and J. Siciak, “Transfinite diameter and analytic continuation of functions of two complex variables,” Studies Math. Analysis and Related Topics, Stanford (1962), pp. 341–358.

  2. V. P. Sheinov, “Analogs of Polya's theorem and rational functions of several variables,” VINITI, No. 306-68, 1–43 (1968).

    Google Scholar 

  3. V. P. Sheinov, “Transfinite diameter and some theorems of Polya in the case of several complex variables,” Sibirsk. Matem. Zh.,12, No. 6, 1382–1389 (1971).

    Google Scholar 

  4. G. Polya, “Beitrag zur Verallgemeinerung des Verzerrungssatzes auf mehrfach zusammenhängende, Gebiete III,” Sitzber. Preus. Akad. Wiss., Phys.-Math. Kl., 55–62 (1929).

  5. G. M. Goluzin, Geometrical Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  6. H. Behnke and E. Peschl, “Zur Theorie der Funktionen mehrerer komplexer Veründerlichen, Konvexitat in Bezug auf analytische Ebenen im kleinen und grossen,” Math. Ann.,111, 158–177 (1935).

    Google Scholar 

  7. L. A. Aizenberg, “Linear convergence inC n and separation of singularities,” Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. et Phys.,15, No. 7, 487–495 (1967).

    Google Scholar 

  8. G. Polya and G. Szego, Problems and Theorems of Analysis [Russian translation], Vol. 1, Gostekhizdat, Moscow (1956).

    Google Scholar 

Download references

Authors
  1. V. P. Sheinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 1, pp. 194–203, January–February, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sheinov, V.P. Invariant form of Polya's inequalities. Sib Math J 14, 138–145 (1973). https://doi.org/10.1007/BF00967274

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967274

Search

Navigation