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Problem on Extremal Decomposition of the Complex Plane with Free Poles

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Abstract

We consider the well-known problem of the geometric theory of functions of a complex variable on non-overlapping domains with free poles on radial systems. The main results of the present work strengthen and generalize several known results for this problem.

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Authors and Affiliations

  1. Institute of Mathematics of the NAS of Ukraine, Kyiv, Ukraine

    Aleksandr K. Bakhtin & Liudmyla V. Vyhivska

Authors
  1. Aleksandr K. Bakhtin
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  2. Liudmyla V. Vyhivska
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Correspondence to Aleksandr K. Bakhtin or Liudmyla V. Vyhivska.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 17, No. 1, pp. 3–29 January–March, 2020.

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Bakhtin, A.K., Vyhivska, L.V. Problem on Extremal Decomposition of the Complex Plane with Free Poles. J Math Sci 248, 145–165 (2020). https://doi.org/10.1007/s10958-020-04865-3

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