Skip to main content
Log in

Conformal mapping of some circular polygons with cuts onto a rectangle

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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. P. Ya. Polubarinova-Kochina, “Application of the theory of linear differential equations to some problems on the motion of underground water (more than three singular points),” Izv. Akad. Nauk SSSR, Ser. Mat., Nos. 5–6, 579–602 (1939).

    Google Scholar 

  2. N. K. Kalinin, “On the problem of filtration through a multilayered ground,” Dissertation, Saratov (1943).

  3. A. Ya. Chilap, “On the problem of water breaking out of a contour toward a system of cracks,” Izv. Vyssh. Uchebn. Zaved., Mat.,16, No. 3, 241–255 (1960).

    Google Scholar 

  4. S. N. Numerov, “On some special cases of conformal mapping of circular polygons onto a rectangle,” Ukr. Mat. Zh.,27, No. 6, 831–833 (1975).

    Google Scholar 

  5. P. Ya. Polubarinova-Kochina, The Theory of Motion of Underground Water [in Russian], 2nd ed., Nauka, Moscow (1977).

    Google Scholar 

  6. Yu. I. Kapranov, “On the freshwater boundary in the case of a periodic system of horizontal tubular drains,” in: Boundary Problems in Subterranean Dynamics [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1976), pp. 67–84.

    Google Scholar 

  7. V. Koppenfeld and F. Stalmann, Practical Conformal Mapping [Russian translation], IL, Moscow (1963).

    Google Scholar 

  8. A. R. Tsitskishvili, “On conformal mapping of a half plane onto circular polygons,” Dokl. Akad. Nauk SSSR,211, No. 2, 300–303 (1973).

    Google Scholar 

  9. E. T. Whittaker and L. N. Watson, A Course of Modern Analysis, Cambridge Univ. Press (1927).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, pp. 540–543, September–October, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bereslavskii, É.N. Conformal mapping of some circular polygons with cuts onto a rectangle. Ukr Math J 31, 427–429 (1979). https://doi.org/10.1007/BF01126869

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01126869

Keywords

Navigation