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Construction of a function that maps a circular n-connected region onto a ring with circular cuts

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. G. M. Goluzin, “Solution of principal two-dimensional problems of mathematical physics for the case of the Laplace equation and multiply connected regions bounded by circles,” Matem. Sb.,41, No. 2 (1934).

  2. V. L. Danilov et al., Mathematical Analysis (Functions, Limits, Series, Continued Fractions) [in Russian], Fizmatgiz, Moscow (1961).

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  3. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow (1962).

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  4. L. E. Dunduchenko, “Nonemptiness of a class of functions analytic in an n-connected circular region,” Ukrairsk. Matem. Zh.,23, No. 4 (1971).

  5. L. E. Dunduchenko, “On the Riemann-Hilbert problem for a multiply connected region,” Dokl. Akad. Nauk SSSR,196, No. 1 (1971).

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Authors and Affiliations

  1. Kiev Higher School of Antiaircraft Missile Engineering, Kiev Polytechnical Institute, USSR

    L. E. Dunduchenko & V. I. Poryadennaya

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  1. L. E. Dunduchenko
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  2. V. I. Poryadennaya
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 3, pp. 300–307, May–June, 1975.

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Dunduchenko, L.E., Poryadennaya, V.I. Construction of a function that maps a circular n-connected region onto a ring with circular cuts. Ukr Math J 27, 241–246 (1975). https://doi.org/10.1007/BF01092080

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  • DOI: https://doi.org/10.1007/BF01092080

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