Skip to main content
Log in

On a theorem of Pólya on entire functions with real Taylor coefficients

  • 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.

References

  1. G. Pólya, “Untersuchungen über Lücken und Singularitäten von Potenzeihen,” Math. Z.,29, 549–560 (1929).

    Article  Google Scholar 

  2. M. N. Sheremeta, “On a theorem of Pólya,” Ukrain., Mat. Zh.,35, No. 1, 119–124 (1983).

    Google Scholar 

  3. A. Edrei, “Gap and density theorems for entire functions,” Scripta Math.,23, 117–141 (1957).

    Google Scholar 

  4. M. N. Sheremeta, “On entire functions with real Taylor coefficients,” Ukrain. Mat., Zh.,37, No. 6, 786–787 (1985).

    Google Scholar 

  5. A. M. Gaîsin, “On a conjecture of Pólya,” Izv. Ross. Nauk Ser. Mat.,58, No. 2, 73–92 (1994).

    Google Scholar 

  6. A. M. Gaîsin, “Behavior of the sum of a Dirichlet series of given growth,” Mat. Zametki,50, No. 4, 47–56 (1991).

    Google Scholar 

  7. I. F. Krasichkov, “Estimates from below for entire functions of finite order,” Sibirsk. Mat. Zh.,6, No. 4, 840–861 (1965).

    MATH  Google Scholar 

Download references

Authors

Additional information

The research is financially supported by the Russian Foundation for Basic Research (Grant 93-01-00259).

Ufa. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 38, No. 1, pp. 46–55, January–February, 1997.

Translated by G. V. Dyatlov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gaîsin, A.M. On a theorem of Pólya on entire functions with real Taylor coefficients. Sib Math J 38, 37–46 (1997). https://doi.org/10.1007/BF02674898

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674898

Keywords

Navigation