Advertisement

Lithuanian Mathematical Journal

, Volume 18, Issue 3, pp 313–319 | Cite as

Necessary and sufficient conditions for solvability of the inhomogeneous Riemann boundary-value problem with minus infinite index of logarithmic order min (α, β)≥1 for a half-plane

  • P. Yu. Alekna
Article
  • 16 Downloads

Keywords

Logarithmic Order Infinite Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    F. D. Gakhov, Boundary Value Problems, Pergamon (1966).Google Scholar
  2. 2.
    B. J. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).Google Scholar
  3. 3.
    N. V. Govorov, “On the Riemann boundary problem with an infinite index,” Dokl. Akad. Nauk SSSR,154, No. 6, 1247–1249 (1964).Google Scholar
  4. 4.
    N. V. Govorov, “On bounded solutions of the Riemann boundary problem with an infinite index of power order, Dokl. Akad. Nauk SSSR,182, No. 4, 750–753 (1968).Google Scholar
  5. 5.
    N. V. Govorov, “The Riemann boundary problem with infinite index of power order <1/2,” in: Theory of Functions, Functional Analysis and Applications [in Russian], Vol. 6, Kharkov Univ. (1968), pp. 151–176.Google Scholar
  6. 6.
    N. V. Govorov and M. I. Zhuravleva, “An upper estimate for the modulus of a function analytic in a half-plane and a cut plane,” Izv. Severo-Kavkaz. Tsentra Vys. Shkoly, Estestvennye Nauki,4, 102–103 (1973).Google Scholar
  7. 7.
    P. G. Yurov, “Inhomogeneous Riemann boundary problem with infinite index of logarithmic order α≥1,” in: Proceedings of the All-Union Conference on Boundary Problems [in Russian], Kazan (1970), pp. 279–284.Google Scholar
  8. 8.
    P. G. Yurov, “The Riemann boundary problem with infinite index of logarithmic order,” Doctoral Dissertation, Rostov-on-Don (1968).Google Scholar
  9. 9.
    P. G. Yurov, “Asymptotic estimates of functions defined by means of canonical products,” Mat. Zametki,10, No. 6, 641–648 (1971).Google Scholar
  10. 10.
    P. Yu. Alekna, “On the homogeneous Riemann boundary problem with infinite index of logarithmic order for a half-plane,” Liet. Mat. Rinkinys,13, No. 3, 5–13 (1973).Google Scholar
  11. 11.
    P. Yu. Alekna, “The inhomogeneous Riemann boundary problem with infinite index of logarithmic order γ>1 for a half-plane,” Liet. Mat. Rinkinys,15, No. 1, 5–22 (1975).Google Scholar
  12. 12.
    P. Alekna, “Sufficient conditions for solvability of the inhomogeneous Riemann boundary problem with minus-infinite index of logarithmic order for a half-plane,” Liet. Mat. Rinkinys,16, No. 2, 182–183 (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • P. Yu. Alekna

There are no affiliations available

Personalised recommendations