Skip to main content
Log in

Plane indicator diagram of an entire function of an integer order ρ>1

  • 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. A. F. Leont'ev, Exponent Series [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  2. A. F. Leont'ev, Sequences of Polynomials of Exponents [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  3. B. J. Levin, Distribution of Zeros of Entire Functions, Am. Math. Soc. (1972).

  4. V. Bernstein, “Eulle proprieta caratteristiche delle indicarrici di crescenza della transcendenti intere d'ordine finito,” Mem. R. Accad. d'Italia,7, 131–189 (1936).

    Google Scholar 

  5. L. S. Maergoiz, “On the structure of the indicator of an entire function of finite order and normal type,” Sib. Mat. Zh.,16, No. 2, 301–313 (1975).

    Google Scholar 

  6. A. E. Avetisyan, “On a generalization of a theorem of Polya,” Dokl. Akad. Nauk SSSR,105, No. 5, 885–888 (1955).

    Google Scholar 

  7. M. M. Dzhrbashyan, Integral Transforms and Representations of Functions in Complex Domain [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  8. A. F. Leont'ev, Generalization of Exponent Series [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  9. L. S. Maergoiz, “Plane ρ-convex sets and their applications,” in: Holomorphic Functions of Several Complex Variables, IF SO Akad. Nauk SSSR, Krasnoyarsk (1972), pp. 75–91.

    Google Scholar 

  10. M. A. Evgrafov, “Generalization of Borel transformation,” Preprint, Akad. Nauk SSSR, IPM, No. 35, Moscow (1976).

    Google Scholar 

  11. L. S. Maergoiz, “On one analogue of a theorem of Polya and its applications,” Izv. Akad. Nauk Arm. SSR,15, No. 1, 45–62 (1980).

    Google Scholar 

  12. Yu. F. Korobeinik and A. F. Leont'ev, “On a property of inner-continuation of a representing system of exponents,” Mat Zametki,28, No. 2, 243–254 (1980).

    Google Scholar 

  13. V. A. Tkachenko, “On operators commuting with the operator of generalized differentiation in the space of analytic functions with a given indicator of the growth,” Mat. Sb.,102, No. 3, 435–456 (1977).

    Google Scholar 

  14. V. A. Tkachenko, “Equation of convolution type in the space of analytic functionals,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 2, 378–392 (1977).

    Google Scholar 

  15. L. S. Maergoiz, “On analytic realization of operators commuting with the operator of generalized differentiation,” Usp. Mat. Nauk,37, No. 3, 191–192 (1982).

    Google Scholar 

  16. Yu. G. Borisovich, N. M. Bliznyakov, Ya. A. Izrailevich, and T. N. Fomenko, Introduction to Topology [in Russian], Vysshaya Shkola, Moscow (1980).

    Google Scholar 

  17. H. Unkelbach, “Die konforme Abbildung echter Polygone,” Math. Annalen,125, 82–118 (1952).

    Google Scholar 

  18. O. V. Epifanov, “Differentiation operator with polynomial coefficients in the classes of entire functions with given indicator estimate,” Mat. Sb.,114, No. 1, 85–109 (1981).

    Google Scholar 

  19. G. Springer, Introduction to the Theory of Riemann Surfaces [Russian translation], IL, Moscow (1960).

    Google Scholar 

  20. O. Forster, Riemann Surfaces [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  21. S. Stoilov, Theory of Functions of Complex Variables, Vol. 1 [in Russian], IL, Moscow (1960).

    Google Scholar 

  22. B. V. Shabat, Introduction to the Theory of Complex Variables, Part 2 [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  23. P. Rockafellar, Convex Analysis, Princeton Univ. Press (1969).

  24. L. Hormander, Introduction to the Theory of Several Complex Variables [Russian translation], Mir, Moscow (1968).

    Google Scholar 

Download references

Authors

Additional information

Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 2, pp. 107–123, March–April, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maergoiz, L.S. Plane indicator diagram of an entire function of an integer order ρ>1. Sib Math J 28, 263–277 (1987). https://doi.org/10.1007/BF00970873

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970873

Keywords

Navigation